Statistics for Data Science & Analytics

The post is about Hypothesis Testing MCQs Test with Answers. The quiz contains 20 questions about hypothesis testing and p-values. It covers the topics of formulation of the null and alternative hypotheses, level of significance, test statistics, region of rejection, decision, effect size, about acceptance and rejection of the hypothesis. Let us start with the Quiz Hypothesis Testing MCQs Test now.

Online Hypothesis Testing MCQs Test with Answers

1. Scientists claim that a diet will increase the mean weight of eggs at least by 0.3 ounces. A sample of 25 eggs has a mean increase of 0.4 ounces with a SD of 0.20. What will be the null hypothesis for testing this claim about diet?

 $\mu\le 0.3$

 $\mu>0.4$

 $\mu>$

 $\mu\ge 0.3$

2. The power of a statistical test is the probability of rejecting the null hypothesis when it is —————–. When you increase alpha, the power of the test will —————.

 false, decrease

 false, increase

 true, increase

 true, decrease

3. Which hypothesis is tested for possible rejection under the assumption that it is true?

 Level of significance

 Both null and alternative hypothesis

 Alternative hypothesis

 Null hypothesis

4. The value $(1 – \alpha)$ is called ————–.

 The probability of a Type I error

 The probability of Type I error

 The power of the test

 The confidence coefficient

5. A man accused of committing a crime is taking a polygraph (lie detector) test. The polygraph is essentially testing the hypotheses
$H_0$: The man is telling the truth vs. $H_a$: The man is not telling the truth.
Suppose we use a 5% level of significance. Based on the man’s responses to the questions asked, the polygraph determines a P-value of 0.08. We conclude that:

 The probability that the man is telling the truth is 0.08

 We reject the null hypothesis as there is sufficient evidence that the man is telling the truth

 We fail to reject the null hypothesis as there is insufficient evidence that the man is not telling the truth

 The probability that the man is not telling the truth is 0.08

6. A Type 2 error occurs when the null hypothesis is

 Not rejected when it is true

 Rejected when it is true

 Not rejected when it is false

 Rejected when it is false

7. Which of the following is false?

 As the sample size increases, the variability of the sampling distribution decreases

 Standard error computed based on a sample standard deviation will always be lower than the standard deviation of that sample

 Standard error measures the variability in means of samples of the same size taken from the same population

 In order to reduce the standard error by half, sample size should be doubled

8. The feed of a certain type of hormone increases the mean weight of chicks by 0.3 ounces. A sample of 25 eggs has a mean increase of 0.4 ounces with a standard deviation of 0.20 ounces. What is the value of the t-statistic?

 10

 -2.5

 2.5

 -10

9. Which of the following would best be analyzed using a chi-square test of independence?

 Testing whether more males or females are coffee drinkers vs. non-coffee drinkers

 Determining whether males or females have a higher mean score on a test of interpersonal sensitivity

 Examining the distribution of grades in a class

 Determining if a smoking cessation program reduces smoking behavior in a sample of patients

10. A statement or assumption made about the value of a population parameter is

 Statistical hypothesis

 Interval estimation

 Point estimation

 Estimation

11. One-sided alternative hypotheses are phrased in terms of:

 $\le$ or $\ge$

 $\approx$ or $=$

 $\ne$

 < or >

12. Which of the following is false?

 Standard error computed based on a sample standard deviation will always be lower than the standard deviation of that sample

 As the sample size increases, the variability of the sampling distribution decreases

 Standard error measures the variability in means of samples of the same size taken from different populations

 In order to reduce the standard error by half, sample size should be increased by a factor of 4

13. We want to estimate the average coffee intake of Coursera students, measured in cups of coffee. A survey of 1,000 students yields an average of 0.55 cups per day, with a standard deviation of 1 cup per day. Which of the following is not necessarily true?

 $\overline{x}=0.55, s=1$

 55 is a point estimate for the population mean

 $\mu =0.55, \sigma=1$

 The sample distribution is right skewed

14. You set up a two-sided hypothesis test for a population mean with a null hypothesis of $H_0:\mu=100$. You chose a significance level $\alpha=0.05$. The p-value calculated from the data is 0.12, and hence you failed to reject the null hypothesis. Suppose that after your analysis was completed and published, an expert informed you that the true value of  $\mu$ is 104. How would you describe the result of your analysis?

 You did not make a Type 1 or Type 2 error

 A Type 2 error was made because you failed to reject the null hypothesis but is really not equal to 100

 A Type 1 error was made because you failed to reject the null hypothesis but is really not equal to 100

15. If a p-value for a hypothesis test of the mean was 0.0330 and the level of significance was 5%, what conclusion would you draw?

 There is not enough information given to draw a conclusion

 Accept the null hypothesis

 Reject the null hypothesis

 Do not reject the null hypothesis

16. A study compared five different methods for teaching descriptive statistics. The five methods were (i) traditional lecture and discussion, (ii) programmed textbook instruction, (iii) programmed text with lectures, (iv) computer instruction, and (v) computer instruction with lectures. 45 students were randomly assigned, 9 to each method. After completing the course, students took a 1-hour exam. We are interested in finding out if the average test scores are different for the different teaching methods.

If the original significance level for the ANOVA was 0.05, what should be the adjusted significance level for the pairwise tests to compare all pairs of means to each other?

 0.25

 0.5

 0.01

 0.005

17. Which of the following are tests about population proportions and frequencies?

 Correlation

 ANOVA

 Chi-square test

 T-test

18. If you were running a two-tail t-test with a sample size of $n=24$, what would the critical t-value be if $\alpha$ was chosen as 5%?

 1.711

 1.96

 2.069

 1.714

19. Which of the following is false regarding paired data?

 Each observation in one data set is subtracted from the average of the other data set’s observations

 Two data sets of different sizes cannot be analyzed as paired data

 In a paired analysis we first subtract the paired observations from each other, and then do inference on the differences

 Each observation in one data set has a natural correspondence with exactly one observation from the other data set

20. For given values of the sample mean and the sample standard deviation when $n = 25$, you conduct a hypothesis test and obtain a p-value of 0.0667, which leads to non-rejection of the null hypothesis. What will happen to the p-value if the sample size increases (and all else stays the same)?

 Decrease

 May either increase or decrease

 Stay the same

 Increase

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Online Hypothesis Testing MCQs Test with Answers

• Which of the following are tests about population proportions and frequencies?
• Which of the following would best be analyzed using a chi-square test of independence?
• A man accused of committing a crime is taking a polygraph (lie detector) test. The polygraph is essentially testing the hypotheses $H_0$: The man is telling the truth vs. $H_a$: The man is not telling the truth. Suppose we use a 5% level of significance. Based on the man’s responses to the questions asked, the polygraph determines a P-value of 0.08. We conclude that:
• If you were running a two-tail t-test with a sample size of $n=24$, what would the critical t-value be if $\alpha$ was chosen as 5%?
• If a p-value for a hypothesis test of the mean was 0.0330 and the level of significance was 5%, what conclusion would you draw?
• The power of a statistical test is the probability of rejecting the null hypothesis when it is —————–. When you increase alpha, the power of the test will —————.
• The value $(1 – \alpha)$ is called ————–.
• Which of the following is false?
• Which of the following is false?
• We want to estimate the average coffee intake of Coursera students, measured in cups of coffee. A survey of 1,000 students yields an average of 0.55 cups per day, with a standard deviation of 1 cup per day. Which of the following is not necessarily true?
• One-sided alternative hypotheses are phrased in terms of:
• A Type 2 error occurs when the null hypothesis is
• You set up a two-sided hypothesis test for a population mean with a null hypothesis of $H_0:\mu=100$. You chose a significance level $\alpha=0.05$. The p-value calculated from the data is 0.12, and hence you failed to reject the null hypothesis. Suppose that after your analysis was completed and published, an expert informed you that the true value of  $\mu$ is 104. How would you describe the result of your analysis?
• For given values of the sample mean and the sample standard deviation when $n = 25$, you conduct a hypothesis test and obtain a p-value of 0.0667, which leads to non-rejection of the null hypothesis. What will happen to the p-value if the sample size increases (and all else stays the same)?
• A study compared five different methods for teaching descriptive statistics. The five methods were (i) traditional lecture and discussion, (ii) programmed textbook instruction, (iii) programmed text with lectures, (iv) computer instruction, and (v) computer instruction with lectures. 45 students were randomly assigned, 9 to each method. After completing the course, students took a 1-hour exam. We are interested in finding out if the average test scores are different for the different teaching methods. If the original significance level for the ANOVA was 0.05, what should be the adjusted significance level for the pairwise tests to compare all pairs of means to each other?
• Which of the following is false regarding paired data?
• A statement or assumption made about the value of a population parameter is
• Which hypothesis is tested for possible rejection under the assumption that it is true?
• The feed of a certain type of hormone increases the mean weight of chicks by 0.3 ounces. A sample of 25 eggs has a mean increase of 0.4 ounces with a standard deviation of 0.20 ounces. What is the value of the t-statistic?
• Scientists claim that a diet will increase the mean weight of eggs at least by 0.3 ounces. A sample of 25 eggs has a mean increase of 0.4 ounces with a SD of 0.20. What will be the null hypothesis for testing this claim about diet?

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