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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1. We use non parametric tests when the data is_________?
- A. Qualitative
- B. Ranked
- C. Both a and b
- D. None of these
Explanation: Non-parametric methods are suitable for qualitative data and for ordinal or ranked observations because they do not require the usual population distribution assumptions. Thus both listed types of data can lead to non-parametric testing.
Correct answer: Both a and b2. An alternative non parametric test of ANOVA?
- A. Sign test
- B. Wilcoxon sign rank test
- C. Median test
- D. Kruskal Wallis test
Explanation: The Kruskal-Wallis test is the rank-based non-parametric counterpart of one-way ANOVA for comparing several independent groups. The sign and Wilcoxon tests are mainly used for one- or two-sample situations.
Correct answer: Kruskal Wallis test3. When the assumption of normality not met we go for__________?
- A. Parametric test
- B. Non parametric tests
- C. Either both
- D. None of these
Explanation: When the normality assumption is seriously violated, a non-parametric test is often preferred because it does not require a normal population distribution. Parametric tests may still be usable when their robustness conditions are adequate.
Correct answer: Non parametric tests4. When in hypothesis testing (alpha) increases (1-beta)?
- A. Decrease
- B. Equal
- C. Increases
- D. None of these
Explanation: With the sample size and test design fixed, increasing alpha generally makes rejection easier, which increases power, 1-beta. This illustrates the usual trade-off between Type I error and Type II error.
Correct answer: Increases5. In hypothesis testing probability of (alpha +beta) =1?
- A. Increase
- B. Decrease
- C. Yes
- D. No
Explanation: Alpha and beta are error probabilities under different hypotheses, so they are not complements in general. Consequently, their sum need not equal 1.
Correct answer: No6. The non parametric equivalent of an unpaired samples t-test____________?
- A. Kruskal Wallis Test
- B. Mann-Whitney U test
- C. Wilcoxon signed rank test
- D. Sign test
Explanation: The Mann-Whitney U test is the usual nonparametric alternative to the independent or unpaired two-sample t-test. The Wilcoxon signed-rank test is instead used for paired samples, while Kruskal-Wallis handles more than two independent groups.
Correct answer: Mann-Whitney U test7. When testing for randomness, we can use_____________?
- A. Sign test
- B. None of these
- C. Runs test
- D. D Mann-Whitney U test
Explanation: The runs test examines whether the order of observations is random by comparing the observed number of runs with what randomness would produce. Sign, Mann-Whitney, and related tests assess other distributional or location questions.
Correct answer: Runs test8. Which of the following test is most likely assessing this null hypothesis: Ho The number of violations per apartment in the population of all city apartments is binomially distributed with a probability of success in any one trial of P=0.3 dd ?
- A. The Mann-Whitney test
- B. The Kruskal-Wallis test
- C. The Wilcoxon Signed Rank test
- D. The Kolmogorove-Simirnor test
Explanation: This is a goodness-of-fit question asking whether observed counts follow a specified binomial distribution. The Kolmogorov-Smirnov test compares an empirical distribution with a hypothesized distribution, making option d the intended choice.
Correct answer: The Kolmogorove-Simirnor test9. The Wilcoxon, Rank-Sum test used to compares_______________?
- A. Any number of populations
- B. A sample mean to the population mean
- C. Two populations
- D. Three populations
Explanation: The Wilcoxon rank-sum test is the nonparametric alternative to the two-independent-samples t-test, so it compares two independent populations. It is not designed for three or more populations; Kruskal-Wallis is used for that setting.
Correct answer: Two populations10. Comparing the times to failure of radar transponders made by firms A, B, and C based on an airline's sample experience with the three types of instruments one may use____________?
- A. Kolmogorov-Smirnor test
- B. Wilcoxon Rank-Sum test
- C. Spearman Rank Correlation test
- D. Kruskal-Wallis test
Explanation: The three firms provide three independent groups whose failure-time distributions or locations are being compared. Kruskal-Wallis extends the rank-sum approach from two groups to three or more, so it is the appropriate choice.
Correct answer: Kruskal-Wallis testHypothesis Testing MCQs: common questions
Are these Hypothesis Testing MCQs free?
Yes. All Hypothesis Testing MCQs from Statistics are free on TestUstad, with unlimited attempts and no account needed. Nothing on this page is a sample or a trial.
How many Hypothesis Testing MCQs are on this page?
There are 24 Hypothesis Testing MCQs in the Statistics bank, shown ten to a page with the correct answer and an explanation on each.
Does every Hypothesis Testing MCQ have an explanation?
Yes. Each Hypothesis Testing question shows the correct option and a written explanation of why it is correct, so a wrong answer teaches you something rather than just being marked wrong.
Can I take a timed Hypothesis Testing test?
Yes. The practice button on this page starts a free Hypothesis Testing test drawn from the Statistics bank. It marks each answer instantly, gives you a score at the end, and can be retaken as many times as you like.