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Hypothesis Testing MCQs | 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
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
Answer: Statistical Hypothesis

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(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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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%
Answer: 6%
(20) Which of the following p-values will lead us to reject the null hypothesis if the significance level of the test if 5%?
[A] 0.15
[B] 0.10
[C] 0.06
[D] 0.025
Answer: 0.025

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