Free Hypothesis Testing MCQs with Answers
24 Hypothesis Testing MCQs from Statistics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
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24 questions · page 3 of 3
21. Which of the following cannot be Ho_________________?
- A. Q ≤ Qo
- B. Q ≥ Qo
- C. Q = Qo
- D. Q ≠ Qo
Explanation: The null hypothesis contains the equality component, either explicitly or as part of an inequality such as Q ≤ Q₀ or Q ≥ Q₀. A strict inequality Q ≠ Q₀ is therefore used as an alternative hypothesis.
Correct answer: Q ≠ Qo22. Type II error is committed when the null hypothesis is _________________?
- A. Rejected when it is true
- B. Rejected when it is false
- C. Accepted when it is true
- D. Accepted when it is false
Explanation: A Type II error occurs when a false null hypothesis is not rejected, often loosely described as accepting H₀ when it is false. Rejecting a true null hypothesis is instead a Type I error.
Correct answer: Accepted when it is false23. The hypothesis which is being tested is called ___________________?
- A. Composite hypothesis
- B. Alternative hypothesis
- C. Null hypothesis
- D. Simple hypothesis
Explanation: The null hypothesis is the specific claim tested against sample evidence, usually representing no effect or no difference. The alternative hypothesis states the competing claim and is supported only when the null is rejected.
Correct answer: Null hypothesis24. In r x c table for test of Independence the degree of freedom is _____________?
- A. r + c
- B. rc
- C. ι r - c ι
- D. (r -1) (c -1)
Explanation: For an r × c contingency table, the degrees of freedom are obtained by multiplying the numbers of independent row and column categories: (r−1)(c−1).
Correct answer: (r -1) (c -1)