Important MCQs Hypothesis Testing Quiz 3

The post is about MCQs Hypothesis Testing Quiz. There are 20 multiple-choice questions. The quiz covers the topics related to the basics of hypothesis testing, level of significance, test statistical, critical region, parametric, and non-parametric tests. Let us start with MCQs Hypothesis Testing Quiz.

Online MCQs about Hypothesis Testing with Answers

1. In hypothesis testing, type II error is represented by $\beta$ and the power of the test is $1-\beta$ then

 The probability of rejecting $H_0$ when $H_0$ is true

 The probability of failing to reject $H_0$ when $H_0$ is true

 The probability of failing to reject $H_0$ when $H_1$ is true

 The probability of rejecting $H_0$ when $H_1$ is true

 The probability of failing to reject $H_0$

2. In hypothesis testing, you need to conclude, and you fail to reject a null hypothesis, which is actually false. What type of error do they commit?

 Type IV

 Type II

 Type III

 Type I

3. Which of the following statements is correct

 The p-value measures the probability that the hypothesis is true

 A large p-value indicates that the data is consistent with the alternative hypothesis

 The p-value measures the probability of making a Type II error

 The larger the p-value, the stronger the evidence against the null hypothesis

 An extremely small p-value indicates that the actual data differs significantly from the expected if the null hypothesis is true

4. A data analyst conducts a hypothesis test. They fail to reject the null hypothesis. What statement best describes their conclusion?

 Their p-value is greater than their confidence level.

 Their p-value is greater than their significance level.

 Their significance level is greater than their p-value.

 Their confidence level is greater than their p-value.

5. You conduct a hypothesis test, you need to conclude and commit a type II error. Which of the following statements accurately describes this scenario?

 They have failed to reject a null hypothesis, which is actually false.

 They concluded their result occurred by chance, but it was actually statistically significant.

 They have made an error known as a false negative.

 They have made an error known as a false positive.

6. Since   $\alpha$= probability of Type I error, then $1 -\alpha$

 Probability of rejecting $H_0$ when $H_0$ is true

 Probability of not rejecting $H_0$ when $H_a$ is true

 Probability of rejecting $H_0$ when $H_a$ is true

 $1 – \beta$

 Probability of not rejecting $H_0$ when $H_0$ is true

7. In testing of hypothesis, type-II error may be defined as:

 Rejection of true null hypothesis.

 Rejection of false null hypothesis.

 Acceptance of true null hypothesis.

 Acceptance of false null hypothesis.

8. If a Chi-square goodness of fit test has 6 categories and an $N=30$, then the correct number of degrees of freedom is:

 6

 29

 28

 5

9. In testing the difference between two populations, it is possible to use

 The Sign Test.

 Two Sample t-test.

 The Wilcoxon Rank Sum Test.

 Either Wilcoxon Rank Sum Test or Sign Test

10. In a statistical hypothesis test of equality of means, such as $H_0:\mu=10$, if $\alpha=5\%$

 5% of the time we will say that there is a real difference when there is no difference (Type I error)

 5% of the time we will make a correct inference

 95% of the time the null hypothesis will be correct

 5% of the time we will say that there is no real difference when there is a difference (Type II error)

 95% of the time we will make an incorrect inference

11. Which of the following is NOT correct?

 The probability of a type II error is controlled by the sample size $(n)$

 The rejection region is controlled by the $\alpha$ and the alternative hypothesis

 The power of a test depends upon the sample size and the distance between the null hypothesis and the alternative hypothesis

 The $p$-value measures the probability that the null hypothesis is true

 The probability of a type I error is controlled by the selection of the level of significance $\alpha$

12. In statistical testing of the hypothesis, what happens to the region of rejection when the level of significance $\alpha$ is reduced?

 The answer depends on the form of the alternative hypothesis

 The rejection region is reduced in size

 The answer depends on the value of $\beta$

 The rejection region is unaltered

 The rejection region is increased in size

13. The average growth of a certain variety of pine trees is 10.1 inches in three years. A biologist claims that a new variety will have greater three-year growth. A random sample of 25 of the new variety has an average three-year growth of 10.8 inches and a standard deviation of 2.1 inches. The appropriate null and alternative hypotheses to test the biologist’s claim are:

 $H: \mu = 10.8$ against $H_a: \mu \ne 10.8$

 $H: \mu = 10.1$ against $H_a: \mu \ne 10.1$

 $H: \mu = 10.8$ against $H_a: \mu > 10.8$

 $H: \mu = 10.1$ against $H_a: \mu < 10.1$

 $H: \mu = 10.1$ against $H_a: \mu > 10.1$

14. In a one-sample hypothesis test of the mean, what are the typical options for the alternative hypothesis?

 The population mean is less than an observed value.

 The population mean is not equal to an observed value.

 The population mean is equal to an observed value.

 The population mean is greater than an observed value.

15. In testing the statistical hypothesis, which of the following statement(s) is false?

 For testing $H_0:\mu=\mu_0$, $H_1:\mu>\mu_0$, we reject $H_0$ for high values of the sample mean $\overline{X}$

 The critical region is the values of the test statistic for which we reject the null hypothesis

 The level of significance is the probability of type I error

 The $p$-value measures the probability that the null hypothesis is true

 In testing $H_0:\mu=\mu_0$, $H_1:\mu \ne \mu_0$, the critical region is two-sided.

16. In testing the statistical hypothesis, which of the following statement(s) is false?

 The level of significance is the probability of type I error

 In testing $H_0:\mu=\mu_0$, $H_1:\mu \ne \mu_0$, the critical region is two-sided.

 The $p$-value measures the probability that the null hypothesis is true

 For testing $H_0:\mu=\mu_0$, $H_1:\mu>\mu_0$, we reject $H_0$ for high values of the sample mean $\overline{X}$

 The critical region is the values of the test statistic for which we reject the null hypothesis

17. To perform a run test for randomness the data must be

 Quantitative

 Qualitative

 Divided exactly into two classifications

 Classified

18. The following are percentages of fat found in 5 samples of each of the two brands of baby food:
A:    5.7, 4.5, 6.2, 6.3, 7.3
B:    6.3, 5.7, 5.9, 6.4, 5.1
Which of the following procedures is appropriate to test the hypothesis of equal average fat content in the two types of ice cream?

 Paired $t$-test with 4 d.f

 Sign test

 Two samples $t$-test with 8 d.f

 Paired $t$-test with 5 d.f

 Two samples $t$-test with 9 d.f

19. Suppose you conduct a hypothesis test and choose a significance level of 5%. You calculate a p-value of 3.3%. What conclusion should be drawn?

 Fail to reject the null hypothesis.

 Reject the alternative hypothesis.

 Reject the null hypothesis.

 Fail to reject the alternative hypothesis.

20. For testing the equality of several variances the appropriate test is

 Z test

 Bartlett Test

 F test

 Chi Square Test

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MCQs Hypothesis Testing Quiz with Answers

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• In hypothesis testing, type II error is represented by $\beta$ and the power of the test is $1-\beta$ then
• In statistical testing of the hypothesis, what happens to the region of rejection when the level of significance $\alpha$ is reduced?
• Which of the following is NOT correct?
• In testing the statistical hypothesis, which of the following statement(s) is false?
• In testing the statistical hypothesis, which of the following statement(s) is false?
• In a statistical hypothesis test of equality of means, such as $H_0:\mu=10$, if $\alpha=5\%$
• Which of the following statements is correct
• The average growth of a certain variety of pine trees is 10.1 inches in three years. A biologist claims that a new variety will have greater three-year growth. A random sample of 25 of the new variety has an average three-year growth of 10.8 inches and a standard deviation of 2.1 inches. The appropriate null and alternative hypotheses to test the biologist’s claim are:
• Since   $\alpha$= probability of Type I error, then $1 -\alpha$
• The following are percentages of fat found in 5 samples of each of the two brands of baby food: A: 5.7, 4.5, 6.2, 6.3, 7.3 B:    6.3, 5.7, 5.9, 6.4, 5.1 Which of the following procedures is appropriate to test the hypothesis of equal average fat content in the two types of ice cream?
• In hypothesis testing, you need to conclude, and you fail to reject a null hypothesis, which is actually false. What type of error do they commit?
• You conduct a hypothesis test, you need to conclude and commit a type II error. Which of the following statements accurately describes this scenario?
• Suppose you conduct a hypothesis test and choose a significance level of 5%. You calculate a p-value of 3.3%. What conclusion should be drawn?
• In a one-sample hypothesis test of the mean, what are the typical options for the alternative hypothesis?
• A data analyst conducts a hypothesis test. They fail to reject the null hypothesis. What statement best describes their conclusion?
• In testing the difference between two populations, it is possible to use
• In testing of hypothesis, type-II error may be defined as:
• If a Chi-square goodness of fit test has 6 categories and an $N=30$, then the correct number of degrees of freedom is:
• For testing the equality of several variances the appropriate test is
• To perform a run test for randomness the data must be

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