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Hypothesis Testing Quiz | Hypothesis Testing Objective type Questions and Answers

(21) In order to determine the p-value of a hypothesis test, which of the following is not needed?
[A] whether the test is one-tail or two-tail
[B] the value of the test statistic
[C] the form of the null and alternate hypotheses
[D] the level of significance
Answer: the level of significance
(22) The p-value of a test is the:
[A] smallest significance level at which the null hypothesis cannot be rejected
[B] largest significance level at which the null hypothesis cannot be rejected
[C] smallest significance level at which the null hypothesis can be rejected
[D] largest significance level at which the null hypothesis can be rejected
Answer: smallest significance level at which the null hypothesis can be rejected

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(23) If we 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 enough statistical evidence to infer that the alternative hypothesis is true
(24) In a one-tail test for the population mean, if the null hypothesis is rejected when the alternative hypothesis is not 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 I error is committed
(25) In a two-tail test for the population mean, if the null hypothesis is rejected when the alternative 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 one-tail test should be used instead of a two-tail test
Answer: a correct decision is made
(26) In a criminal trial, a Type II error is made when:
[A] a guilty defendant is acquitted (set free)
[B] an innocent person is convicted (sent to jail)
[C] a guilty defendant is convicted
[D] an innocent person is acquitted
Answer: a guilty defendant is acquitted (set free)
(27) A Type II 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: do not reject a false null hypothesis
(28) In a criminal trial, a Type I error is made when:
[A] a guilty defendant is acquitted (set free)
[B] an innocent person is convicted (sent to jail)
[C] a guilty defendant is convicted
[D] an innocent person is acquitted
Answer: an innocent person is convicted (sent to jail)
(29) The probability of Type 1 error is referred as?
[A] 1-α
[B] β
[C] α
[D] 1-β
Answer: α
(30) Consider a hypothesis H0 where ϕ0 = 5 against H1 where ϕ1 > 5. The test is?
[A] Right tailed
[B] Left tailed
[C] Center tailed
[D] Cross tailed
Answer: Right tailed
51 The type of test is defined by which of the following?
[A] Null Hypothesis
[B] Simple Hypothesis
[C] Alternative Hypothesis
[D] Composite Hypothesis
Answer: Alternative Hypothesis
32 The point where the Null Hypothesis gets rejected is called as?
[A] Significant Value
[B] Rejection Value
[C] Acceptance Value
[D] Critical Value
Answer: Critical Value
33 If the null hypothesis is false then which of the following is accepted?
[A] Null Hypothesis
[B] Positive Hypothesis
[C] Negative Hypothesis
[D] Alternative Hypothesis
Answer: Alternative Hypothesis
34 A hypothesis which defines the population distribution is called?
[A] Null Hypothesis
[B] Statistical Hypothesis
[C] Simple Hypothesis
[D] Composite Hypothesis
Answer: Simple Hypothesis
35 If the assumed hypothesis is tested for rejection considering it to be true is called?
[A] Null Hypothesis
[B] Statistical Hypothesis
[C] Simple Hypothesis
[D] Composite Hypothesis
Answer: Null Hypothesis

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