Hypothesis Testing Multiple Choice Questions and Answers

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

Answer: Hypothesis

2 A statement whose validity is tested on the basis of a sample is called?

A Null Hypothesis

B Statistical Hypothesis

C Simple Hypothesis

D Composite Hypothesis

View Answer

Answer: Statistical Hypothesis

3 The rejection probability of Null Hypothesis when it is true is called as?

A Level of Confidence

B Level of Significance

C Level of Margin

D Level of Rejection

View Answer

Answer: Level of Significance

4 If the Critical region is evenly distributed then the test is referred as?

A Two tailed

B One tailed

C Three tailed

D Zero tailed

View Answer

Answer: Two tailed

5 Which of the following is defined as the rule or formula to test a Null Hypothesis?

A Test statistic

B Population statistic

C Variance statistic

D Null statistic

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Answer: Test statistic

6 Consider a hypothesis where H0 where ϕ0 = 23 against H1 where ϕ1 < 23. The test is?

A Right tailed

B Left tailed

C Center tailed

D Cross tailed

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Answer: Left tailed

7 Type 1 error occurs when?

A We reject H0 if it is True

B We reject H0 if it is False

C We accept H0 if it is True

D We accept H0 if it is False

View Answer

Answer: We reject H0 if it is True

8 Alternative Hypothesis is also called as?

A Composite hypothesis

B Research Hypothesis

C Simple Hypothesis

D Null Hypothesis

View Answer

Answer: Research Hypothesis

9 A Type I error occurs when we:

A Reject A False Null Hypothesis

B Reject A True Null Hypothesis

C Do Not Reject A False Null Hypothesis

D Do Not Reject A True Null Hypothesis

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Answer: Reject A True Null Hypothesis

10 If a hypothesis is rejected at the 0.025 level of significance, it:

A Must Be Rejected At Any Level

B Must Be Rejected At The 0.01 Level

C Must Not Be Rejected At The 0.01 Level

D May Or May Not Be Rejected At The 0.01 Level

View Answer

Answer: May Or May Not Be Rejected At The 0.01 Level

11 In a one-tail test for the population mean, if the null hypothesis is not rejected when the alternative hypothesis is true, then:

A A Type I Error Is Committed

B A Type Ii Error Is Committed

C A Correct Decision Is Made

D A Two-Tail Test Should Be Used Instead Of A One-Tail Test

View Answer

Answer: A Type Ii Error Is Committed

12 If we do not reject the null hypothesis, we conclude that:

A there is enough statistical evidence to infer that the alternative hypothesis is true

B there is not enough statistical evidence to infer that the alternative hypothesis is true

C there is enough statistical evidence to infer that the null hypothesis is true

D the test is statistically insignificant at whatever level of significance the test was conducted at

View Answer

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

D derive the standard error of the data

View Answer

Answer: determine whether a statistical result is significant

14 In hypothesis testing, what level of significance would be most appropriate to choose if you knew that making a Type I error would be more costly than making a Type II error?

A 0.005

B 0.025

C 0.050

D 0.100

View Answer

Answer: 0.005

15 To test a hypothesis involving proportions, both np and n(1-p) should

A Be at least 30

B Be greater than 5

C Lie in the range from 0 to 1

D Be greater than 50

View Answer

Answer: Be greater than 5

16 What assumption is being made when we use the t-distribution to perform a hypothesis test?

A That the underlying distribution has more then one modal class

B That the underlying population has a constant variance

C That the underlying population has a non-symmetrical distribution

D That the underlying population follows an approximately Normal distribution

View Answer

Answer: That the underlying population follows an approximately Normal distribution

17 The p-value obtained from a classical hypothesis test is:

A the probability that the null hypothesis is true given the data

B the probability that the null hypothesis is false given the data

C the probability of observing the data or more extreme values if the null hypothesis is true

D the probability of observing the data or more extreme values if the alternative hypothesis is true

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Answer: the probability of observing the data or more extreme values if the null hypothesis is true

18 Which of the following statements about hypothesis testing is true?

A If the p-value is greater than the significance level, we fail to reject Ho

B A Type II error is rejecting the null when it is actually true

C If the alternative hypothesis is that the population mean is greater than a specified value, then the test is a two-tailed test

D None of the above statements are true

View Answer

Answer: If the p-value is greater than the significance level, we fail to reject Ho

19 Suppose that we reject a null hypothesis at the 5% level of significance. For which of the following levels of significance do we also reject the null hypothesis?

A 6%

B 2.5%

C 4%

D 3%

View Answer