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Free download in PDF Hypothesis Testing Multiple Choice Questions and Answers for competitive exams. These short objective type questions with answers are very important for Board exams as well as competitive exams. These short solved questions or quizzes are provided by Gkseries.
View Answer
Answer: Hypothesis
Answer: Statistical Hypothesis
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Answer: Level of Significance
Answer: Two tailed
Answer: Test statistic
Answer: Left tailed
Answer: We reject H0 if it is True
Answer: Research Hypothesis
Answer: Reject A True Null Hypothesis
Answer: May Or May Not Be Rejected At The 0.01 Level
Answer: A Type Ii Error Is Committed
Answer: there is not enough statistical evidence to infer that the alternative hypothesis is true
Answer: determine whether a statistical result is significant
Answer: 0.005
Answer: Be greater than 5
Answer: That the underlying population follows an approximately Normal distribution
Answer: the probability of observing the data or more extreme values if the null hypothesis is true
Answer: If the p-value is greater than the significance level, we fail to reject Ho
Answer: 0.025
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MCQs on Hypothesis Testing
This section of Data Science questions and answers include MCQs on Hypothesis Testing. Hypothesis testing is a fundamental statistical concept used to make inferences about a population based on a sample of data. The Hypothesis Testing MCQs address various aspects of hypothesis testing, including definitions, types of errors, significance levels, p-values, effect size, critical regions, and specific tests like t-tests and ANOVA.
1. What is the null hypothesis in a statistical hypothesis test?
a) The hypothesis that there is a significant difference
b) The hypothesis that there is no significant difference
c) The hypothesis that only one variable is involved
d) The hypothesis that the data is perfectly normal
Answer: b) The hypothesis that there is no significant difference
Answer Explanation: The null hypothesis assumes no effect or no difference until evidence suggests otherwise.
2. In hypothesis testing, what is the p-value?
a) The probability of making a Type I error
b) The probability of making a Type II error
c) The probability of observing the data if the null hypothesis is true
d) The probability of rejecting the null hypothesis when it is true
Answer: c) The probability of observing the data if the null hypothesis is true
Answer Explanation: A lower p-value suggests stronger evidence against the null hypothesis.
3. What is a Type I error in the context of hypothesis testing?
a) Incorrectly rejecting a true null hypothesis
b) Incorrectly accepting a false null hypothesis
c) Correctly rejecting a true null hypothesis
d) Correctly accepting a false null hypothesis
Answer: a) Incorrectly rejecting a true null hypothesis
Answer Explanation: Type I error occurs when we falsely conclude that there is an effect when there isn’t.
4. What does the term ‘statistical power’ refer to?
c) The probability of correctly rejecting a false null hypothesis
d) The probability of correctly accepting a true null hypothesis
Answer: c) The probability of correctly rejecting a false null hypothesis
Answer Explanation: Statistical power is the ability to detect a true effect when it exists.
5. Which statistical test is appropriate for comparing means of two independent groups?
b) Chi-square test
d) Pearson correlation
Answer: a) t-test
Answer Explanation: The t-test is used for comparing means of two groups.
6. What is the purpose of the p-value in hypothesis testing?
a) To determine the effect size
b) To quantify the strength of evidence against the null hypothesis
c) To establish causation
d) To calculate the confidence interval
Answer: b) To quantify the strength of evidence against the null hypothesis
Answer Explanation: A lower p-value indicates stronger evidence against the null hypothesis.
7. In a two-tailed hypothesis test, when do you reject the null hypothesis?
a) If the test statistic is too small
b) If the test statistic is too large
c) If the p-value is too small or too large
d) If the p-value is exactly 0.05
Answer: c) If the p-value is too small or too large
Answer Explanation: In a two-tailed test, extreme values in either direction lead to rejection.
8. What is the critical region in hypothesis testing?
a) The range of values where the null hypothesis is likely true
b) The range of values where the null hypothesis is likely false
c) The range of values that leads to rejection of the null hypothesis
d) The range of values that leads to acceptance of the null hypothesis
Answer: c) The range of values that leads to rejection of the null hypothesis
Answer Explanation: The critical region is determined based on the chosen significance level.
9. Which of the following statements about the significance level (α) is correct?
a) It is the probability of rejecting the null hypothesis when it is true
b) It is the probability of accepting the null hypothesis when it is false
c) It is chosen by the researcher and represents the maximum tolerable probability of Type I error
d) It is fixed at 0.05 for all hypothesis tests
Answer: c) It is chosen by the researcher and represents the maximum tolerable probability of Type I error
Answer Explanation: The significance level is a user-defined threshold for the probability of Type I error.
10. What does a confidence interval represent?
c) The range of values that includes the true population parameter with a certain level of confidence
d) The range of values that leads to rejection of the null hypothesis
Answer: c) The range of values that includes the true population parameter with a certain level of confidence
Answer Explanation: A confidence interval provides an estimated range of likely values for a population parameter.
Data Science MCQs on Hypothesis Testing
11. what is the difference between type i and type ii errors in hypothesis testing.
a) Type I error is rejecting a true null hypothesis, while Type II error is accepting a false null hypothesis
b) Type I error is accepting a false null hypothesis, while Type II error is rejecting a true null hypothesis
c) Both Type I and Type II errors involve incorrectly accepting the null hypothesis
d) Both Type I and Type II errors involve incorrectly rejecting the null hypothesis
Answer: a) Type I error is rejecting a true null hypothesis, while Type II error is accepting a false null hypothesis
Answer Explanation: Type I error involves a false positive, while Type II error involves a false negative.
12. In a one-sample t-test, if the p-value is 0.02, what can you conclude?
a) Reject the null hypothesis at a 0.05 significance level
b) Fail to reject the null hypothesis at a 0.05 significance level
c) The null hypothesis is true
d) The test is inconclusive
Answer: a) Reject the null hypothesis at a 0.05 significance level
Answer Explanation: A p-value of 0.02 is less than 0.05, providing evidence to reject the null hypothesis.
13. What is the purpose of the Bonferroni correction in multiple comparisons?
a) To increase the chance of Type I errors
b) To decrease the chance of Type I errors
c) To increase the chance of Type II errors
d) To decrease the chance of Type II errors
Answer: b) To decrease the chance of Type I errors
Answer Explanation: The Bonferroni correction helps control the familywise error rate in multiple comparisons.
14. What is a critical region in a hypothesis test?
c) The range of values that leads to acceptance of the null hypothesis
d) The range of values that leads to neither rejection nor acceptance of the null hypothesis
Answer: b) The range of values where the null hypothesis is likely false
Answer Explanation: The critical region is where the null hypothesis is rejected in favor of the alternative hypothesis.
15. What is the purpose of an effect size measure in hypothesis testing?
a) To determine the statistical power of the test
b) To quantify the strength of a significant result
Answer: b) To quantify the strength of a significant result
Answer Explanation: Effect size helps assess the practical significance of a significant result.
16. Fill in the blank: The ________ is the probability of correctly failing to reject a false null hypothesis.
b) Significance level
c) Type I error rate
d) Type II error rate
Answer: d) Type II error rate
Answer Explanation: Type II error is the probability of accepting a false null hypothesis.
17. In a two-sample t-test, what assumption is made about the variances of the two groups?
a) They must be equal
b) They must be different
c) Variance assumption is not relevant in a t-test
d) The larger variance must be known
Answer: a) They must be equal
Answer Explanation: The assumption of equal variances is crucial for the validity of the t-test.
18. Which statistical test is appropriate for comparing means of more than two independent groups?
a) Paired t-test
b) Wilcoxon signed-rank test
d) Mann-Whitney U test
Answer: c) ANOVA
Answer Explanation: ANOVA is used for comparing means of more than two groups.
19. What is the formula for the standard error of the mean in a one-sample t-test?
a) \( \frac{s}{\sqrt{n}} \)
b) \( \frac{s}{n} \)
c) \( \frac{\sigma}{\sqrt{n}} \)
d) \( \frac{\sigma}{n} \)
Answer: a) \( \frac{s}{\sqrt{n}} \)
Answer Explanation: The standard error of the mean in a t-test is calculated as the sample standard deviation divided by the square root of the sample size.
20. What is the purpose of the Shapiro-Wilk test in hypothesis testing?
a) To test the equality of variances
b) To test the normality of the data
c) To test the independence of observations
d) To test the homogeneity of regression slopes
Answer: b) To test the normality of the data
Answer Explanation: The Shapiro-Wilk test assesses whether a sample comes from a normally distributed population.
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Hypothesis Testing Solved Examples(Questions and Solutions)
Here is a list hypothesis testing exercises and solutions. Try to solve a question by yourself first before you look at the solution.
Question 1 In the population, the average IQ is 100 with a standard deviation of 15. A team of scientists want to test a new medication to see if it has either a positive or negative effect on intelligence, or not effect at all. A sample of 30 participants who have taken the medication has a mean of 140. Did the medication affect intelligence? View Solution to Question 1
A professor wants to know if her introductory statistics class has a good grasp of basic math. Six students are chosen at random from the class and given a math proficiency test. The professor wants the class to be able to score above 70 on the test. The six students get the following scores:62, 92, 75, 68, 83, 95. Can the professor have 90% confidence that the mean score for the class on the test would be above 70. Solution to Question 2
Question 3 In a packaging plant, a machine packs cartons with jars. It is supposed that a new machine would pack faster on the average than the machine currently used. To test the hypothesis, the time it takes each machine to pack ten cartons are recorded. The result in seconds is as follows.
Do the data provide sufficient evidence to conclude that, on the average, the new machine packs faster? Perform the required hypothesis test at the 5% level of significance. Solution to Question 3
Question 4 We want to compare the heights in inches of two groups of individuals. Here are the measurements: X: 175, 168, 168, 190, 156, 181, 182, 175, 174, 179 Y: 120, 180, 125, 188, 130, 190, 110, 185, 112, 188 Solution to Question 4
Question 5 A clinic provides a program to help their clients lose weight and asks a consumer agency to investigate the effectiveness of the program. The agency takes a sample of 15 people, weighing each person in the sample before the program begins and 3 months later. The results a tabulated below
Determine is the program is effective. Solution to Question 5
Question 6 A sample of 20 students were selected and given a diagnostic module prior to studying for a test. And then they were given the test again after completing the module. . The result of the students scores in the test before and after the test is tabulated below.
We want to see if there is significant improvement in the student’s performance due to this teaching method Solution to Question 6
Question 7 A study was performed to test wether cars get better mileage on premium gas than on regular gas. Each of 10 cars was first filled with regular or premium gas, decided by a coin toss, and the mileage for the tank was recorded. The mileage was recorded again for the same cars using other kind of gasoline. Determine wether cars get significantly better mileage with premium gas.
Mileage with regular gas: 16,20,21,22,23,22,27,25,27,28 Mileage with premium gas: 19, 22,24,24,25,25,26,26,28,32 Solution to Question 7
Question 8 An automatic cutter machine must cut steel strips of 1200 mm length. From a preliminary data, we checked that the lengths of the pieces produced by the machine can be considered as normal random variables with a 3mm standard deviation. We want to make sure that the machine is set correctly. Therefore 16 pieces of the products are randomly selected and weight. The figures were in mm: 1193,1196,1198,1195,1198,1199,1204,1193,1203,1201,1196,1200,1191,1196,1198,1191 Examine wether there is any significant deviation from the required size Solution to Question 8
Question 9 Blood pressure reading of ten patients before and after medication for reducing the blood pressure are as follows
Patient: 1,2,3,4,5,6,7,8,9,10 Before treatment: 86,84,78,90,92,77,89,90,90,86 After treatment: 80,80,92,79,92,82,88,89,92,83
Test the null hypothesis of no effect agains the alternate hypothesis that medication is effective. Execute it with Wilcoxon test Solution to Question 9
Question on ANOVA Sussan Sound predicts that students will learn most effectively with a constant background sound, as opposed to an unpredictable sound or no sound at all. She randomly divides 24 students into three groups of 8 each. All students study a passage of text for 30 minutes. Those in group 1 study with background sound at a constant volume in the background. Those in group 2 study with nose that changes volume periodically. Those in group 3 study with no sound at all. After studying, all students take a 10 point multiple choice test over the material. Their scores are tabulated below.
Group1: Constant sound: 7,4,6,8,6,6,2,9 Group 2: Random sound: 5,5,3,4,4,7,2,2 Group 3: No sound at all: 2,4,7,1,2,1,5,5 Solution to Question 10
Question 11 Using the following three groups of data, perform a one-way analysis of variance using α = 0.05.
Solution to Question 11
Question 12 In a packaging plant, a machine packs cartons with jars. It is supposed that a new machine would pack faster on the average than the machine currently used. To test the hypothesis, the time it takes each machine to pack ten cartons are recorded. The result in seconds is as follows.
New Machine: 42,41,41.3,41.8,42.4,42.8,43.2,42.3,41.8,42.7 Old Machine: 42.7,43.6,43.8,43.3,42.5,43.5,43.1,41.7,44,44.1
Perform an F-test to determine if the null hypothesis should be accepted. Solution to Question 12
Question 13 A random sample 500 U.S adults are questioned about their political affiliation and opinion on a tax reform bill. We need to test if the political affiliation and their opinon on a tax reform bill are dependent, at 5% level of significance. The observed contingency table is given below.
Solution to Question 13
Question 14 Can a dice be considered regular which is showing the following frequency distribution during 1000 throws?
Solution to Question 14
Solution to Question 15
Question 16 A newly developed muesli contains five types of seeds (A, B, C, D and E). The percentage of which is 35%, 25%, 20%, 10% and 10% according to the product information. In a randomly selected muesli, the following volume distribution was found.
Lets us decide about the null hypothesis whether the composition of the sample corresponds to the distribution indicated on the packaging at alpha = 0.1 significance level. Solution to Question 16
Question 17 A research team investigated whether there was any significant correlation between the severity of a certain disease runoff and the age of the patients. During the study, data for n = 200 patients were collected and grouped according to the severity of the disease and the age of the patient. The table below shows the result
Let us decided about the correlation between the age of the patients and the severity of disease progression. Solution to Question 17
Question 18 A publisher is interested in determine which of three book cover is most attractive. He interviews 400 people in each of the three states (California, Illinois and New York), and asks each person which of the cover he or she prefers. The number of preference for each cover is as follows:
Do these data indicate that there are regional differences in people’s preferences concerning these covers? Use the 0.05 level of significance. Solution to Question 18
Question 19 Trees planted along the road were checked for which ones are healthy(H) or diseased (D) and the following arrangement of the trees were obtained:
H H H H D D D H H H H H H H D D H H D D D
Test at the = 0.05 significance wether this arrangement may be regarded as random
Solution to Question 19
Question 20 Suppose we flip a coin n = 15 times and come up with the following arrangements
H T T T H H T T T T H H T H H
(H = head, T = tail)
Test at the alpha = 0.05 significance level whether this arrangement may be regarded as random.
Solution to Question 20
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Below are given the gain in weights (in lbs.) of pigs fed on two diet A and B Dieta 25 32 30 34 24 14 32 24 30 31 35 25 – – DietB 44 34 22 10 47 31 40 30 32 35 18 21 35 29
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Get Hypothesis testing Multiple Choice Questions (MCQ Quiz) with answers and detailed solutions. Download these Free Hypothesis testing MCQ Quiz Pdf and prepare for your upcoming exams Like Banking, SSC, Railway, UPSC, State PSC.
ANSWER . a. The p-value is less than 0.1, so it is significant at 0.1 level. b. The p-value is bigger than 0.05, so it is not significant at 0.05 level. c. The achieved level is 0.058. SOLUTION - This question is asking for a hypothesis test of the equality of two means in the setting of two independent groups (state v private) . Research Question
Answer: there is not enough statistical evidence to infer that the alternative hypothesis is true. 13 The purpose of hypothesis testing is to: A test how far the mean of a sample is from zero. B determine whether a statistical result is significant. C determine the appropriate value of the significance level.
This section of Data Science questions and answers include MCQs on Hypothesis Testing. Hypothesis testing is a fundamental statistical concept used to make inferences about a population based on a sample of data. The Hypothesis Testing MCQs address various aspects of hypothesis testing, including definitions, types of errors, significance levels, p-values, effect size, critical regions, and ...
This set of Probability and Statistics Multiple Choice Questions & Answers (MCQs) focuses on "Testing of Hypothesis". 1. A statement made about a population for testing purpose is called? a) Statistic. b) Hypothesis. c) Level of Significance. d) Test-Statistic. View Answer. 2.
A statement about a population developed for the purpose of testing is called: (a) Hypothesis (b) Hypothesis testing (c) Level of significance (d) Test-statistic. MCQ 13. Any hypothesis which is tested for the purpose of rejection under the assumption that it is true is called: (a) Null hypothesis (b) Alternative hypothesis (c) Statistical ...
Hypothesis Testing www.naikermaths.com 10. (a) Define the critical region of a test statistic.(2) A discrete random variable X has a Binomial distribution B(30, p).A single observation is used to test H 0: p = 0.3 against H 1: p ≠ 0.3 (b) Using a 1% level of significance find the critical region of this test.You should state the probability of rejection in each tail which should be as close ...
the hypothesis test in part (a). Give a reason for your answer. (2 marks) 3 David is the professional coach at the golf club where Becki is a member. He claims that, after having a series of lessons with him, the mean number of putts that Becki takes per round of golf will reduce from her present mean of 36.
Hypothesis Testing Multiple Choice Questions Answers (MCQs), Hypothesis Testing MCQ with Answers (chapter 4-1) PDF to download Hypothesis Testing App & e-Book to study online schools courses. Hypothesis Testing MCQ with Answers PDF: Decision value to reject the null hypothesis incase of a two tail test is said to be; with answers .
Chapter 6: Multiple Choice Questions. Instructions. Answer the following questions and then press 'Submit' to get your score. Question 1 Rejection of the null hypothesis is a conclusive proof that the alternative hypothesis is. a) True b) False c) Neither Question 2 Parametric test, unlike the non-parametric tests, make certain assumptions ...
View Solution to Question 1. Question 2. A professor wants to know if her introductory statistics class has a good grasp of basic math. Six students are chosen at random from the class and given a math proficiency test. The professor wants the class to be able to score above 70 on the test. The six students get the following scores:62, 92, 75 ...
HYPOTHESIS TESTING - Read online for free. This document contains 28 multiple choice questions about hypothesis testing. Some key topics covered include: - The difference between statistically and practically significant results - How the null and alternative hypotheses divide all possibilities into non-overlapping sets - That it is possible for the null hypothesis to be true but not the ...
The document contains multiple choice questions about hypothesis testing. It covers key concepts like the null hypothesis, alternative hypothesis, types of errors, significance levels, one-tailed and two-tailed tests. Some key points: - The null hypothesis is the hypothesis being tested, often representing no effect or equal to a claimed value.
Case 2: Population is not normal with known or unknown variance (n is large i.e. n≥30). 3.Hypothesis: we have three cases. Case I : H0: μ=μ0 HA: μ μ0. e.g. we want to test that the population mean is different than 50. Case II : H0: μ = μ0 HA: μ > μ0. e.g. we want to test that the population mean is greater than 50.
Hypothesis Testing Questions & Answers PDF Download: MCQ Quiz 2. MCQ 6: The decision value to reject the null hypothesis incase of a right tail test is said to be. A) Calculated t must be greater than critical value. B) Calculated t is less than negative of critical t-value. C) Calculated t must be less than critical value.
30. A fisheries researcher wishes to test for a difference in mean weights of a single species of fish caught by fishermen in three different lakes in Nova Scotia. The significance level for the test will be 0.05. Complete the following partial ANOVA table and use it to answer questions 31.1 to 31. 4 Source d.f. SS MS F Treatment 17.04
Practice Final Exam Questions (2) -- Answers. Part A. Multiple Choice Questions. For each question, you are encouraged to give a reason or show work for partial credit. ... One-sample t-test. To test the hypothesis that eating fish makes one smarter, a random sample of 12 persons take a fish oil supplement for one year and then are given an IQ ...
Research Hypothesis MCQs: Questions and Answers PDF Download. MCQ 1: A theoretical ideas that form the basis of research hypothesis is: A) Research hypothesis. B) Research analysis. C) Conceptual variables. D) Composed data. MCQ 2: A attribute, presuming different values among different people in different times or places, known as: