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1. H0 is p =...

1. H0 is p = 0.45 and H1 is p ≠ 0.45. What type of test will be performed?

A. One-tail testing of a mean

B. Two-tail testing of a proportion

C. One-tail testing of a proportion

D. Two-tail testing of a mean

2. Which of the following statements about hypothesis testing is false?

A. In both the one-tailed and two-tailed tests, the rejection region is one contiguous interval on the number line.

B. The rejection region is always given in units of standard deviations from the mean.

C. The test will never confirm the null hypothesis, only fail to reject the null hypothesis.

D. A Type I error is the chance that the researcher rejects the null hypothesis when in fact the null hypothesis is true.

3. A mortgage broker is offering home mortgages at a rate of 9.5%, but the broker is fearful that this value

is higher than many others are charging. A sample of 40 mortgages filed in the county courthouse shows an

average of 9.25% with a standard deviation of 8.61%. Does this sample indicate a smaller average? Use α

= 0.05 and assume a normally distributed population.

A. Yes, because the test statistic is greater than –1.645.

B. No, because the test statistic is –1.85 and falls in the rejection region.

C. Yes, because the sample mean of 9.25 is below 9.5.

D. No, because the test statistic falls in the acceptance region.

4. Determine which of the following four population size and sample size combinations would not require

the use of the finite population correction factor in calculating the standard error.

A. N = 2500; n = 75

B. N = 150; n = 25

C. N = 15,000; n = 1,000

D. N = 1500; n = 300

5. Which of the following statements about p-value testing is true?

A. The p represents sample proportion.

B. The p-value is the lowest significance level at which you should reject H0.

C. P-value testing uses a predetermined level of significance.

D. P-value testing applies only to one-tail tests.

6. To schedule appointments better, the office manager for an ophthalmologist wants to estimate the

average time that the doctor spends with each patient. A random sample of 49 is taken, and the sample

mean is 20.3 minutes. Assume that the office manager knows from past experience that the standard

deviation is 14 minutes. She finds that a 95% confidence interval is between 18.3 and 22.3 minutes. What

is the point estimate of the population mean, and what is the confidence coefficient?

A. 18.3, 0.95

B. 20.3, 0.95

C. 18.3, 95%

D. 20.3, 95%

7. What is the purpose of sampling?

A. To create a point estimator of the population mean or proportion

B. To verify that the population is approximately normally distributed

C. To estimate a target parameter of the population

D. To achieve a more accurate result than can be achieved by surveying the entire population

8. What sample size is required from a very large population to estimate a population proportion within

0.05 with 95% confidence? Don't assume any particular value for p.

A. 767

B. 38

C. 271

D. 385

9. When the confidence coefficient is large, which of the following is true?

A. Its value is close to 1.0, but not larger than 1.0.

B. It's more likely that the test will lead you to reject the null hypothesis.

C. Its value is 1.0 or larger.

D. The confidence interval is narrow.

10. Which of the following statements correctly compares the t-statistic to the z-score when creating a

confidence interval?

A. The value of z relates to a normal distribution, while the value of t relates to a Poisson distribution.

B. You can use t all the time, but for n ≥ 30 there is no need, because the results are almost identical if you use t or z.

C. Use t when the sample size is small, and the resulting confidence interval will be narrower.

D. Using t is easier because you do not have to worry about the degrees of freedom, as you do with z.

11. What is the primary reason for applying a finite population correction coefficient?

A. When the sample is a very small portion of the population, the correction coefficient is required.

B. If you don't apply the correction coefficient, your confidence intervals will be too narrow, and thus overconfident.

C. If you don't apply the correction coefficient, your confidence intervals will be too broad, and thus less useful in decision

making.

D. If you don't apply the correction coefficient, you won't have values to plug in for all the variables in the confidence interval

formula.

12. In the statement of a null hypothesis, you would likely find which of the following terms?

A. =

B. ≠

C. >

D. 2.575

B. z > 2.575

C. |z | > 1.645

D. |z | > 1.96

15. If a teacher wants to test her belief that more than five students in college classes typically receive A as

a grade, she'll perform

A. two-tail testing of a proportion.

B. one-tail testing of a proportion.

C. one-tail testing of a mean.

D. two-tail testing of a mean.

16. A woman and her son are debating about the average length of a preacher's sermons on Sunday

morning. Despite the mother's arguments, the son thinks that the sermons are more than twenty minutes.

For one year, he has randomly selected 12 Sundays and found an average time of 26.42 minutes with a

standard deviation of 6.69 minutes. Assuming that the population is normally distributed and using a 0.05

level of significance, he wishes to determine whether he is correct in thinking that the average length of

sermons is more than 20 minutes. What is the test statistic?

A. –3.32

B. 6.69

C. 3.32

D. 0.95

17. Consider a null hypothesis stating that the population mean is equal to 52, with the research hypothesis

End of exam

that the population mean is not equal to 52. Assume we have collected 38 sample data from which we

computed a sample mean of 53.67 and a sample standard deviation of 3.84. Further assume the sample

data appear approximately normal. What is the test statistic?

A. –2.68

B. 2.64

C. 2.68

D. –2.64

18. Consider a null hypothesis stating that the population mean is equal to 52, with the research hypothesis

that the population mean is not equal to 52. Assume we have collected 38 sample data from which we

computed a sample mean of 53.67 and a sample standard deviation of 3.84. Further assume the sample

data appear approximately normal. What is the p-value you would report for this test?

A. 0.4959

B. 0.0037

C. 0.0041

D. 0.4963

19. A federal auditor for nationally chartered banks, from a random sample of 100 accounts, found that the

average demand deposit balance at the First National Bank of Arkansas was $549.82. If the auditor needed

a point estimate for the population mean for all accounts at this bank, what should he use?

A. The average of $54.98 for this sample

B. The auditor should survey the total of all accounts and determine the mean.

C. The average of $549.82 for this sample

D. There's no acceptable value available.

20. For 1996, the U.S. Department of Agriculture estimated that American consumers would have eaten,

on average, 2.6 pounds of cottage cheese throughout the course of that year. Based on a longitudinal study

of 98 randomly selected people conducted during 1996, the National Center for Cottage Cheese Studies

found an average cottage cheese consumption of 2.75 pounds and a standard deviation of s = 14 ounces.

Given this information, which of the following statements would be correct concerning a two-tail test at the

0.05 level of significance?

A. We can conclude that the average cottage cheese consumption in America isn't 2.6 pounds per person per year.

B. We can conclude that we can't reject the claim that the average cottage cheese consumption in America is 2.6 pounds per

person per year.

C. We can conclude that the average cottage cheese consumption in America is at least 0.705 pound more or less than 2.75

pounds per person per year.

D. We can conclude that the average cottage cheese consumption in America is actually 2.75 pounds per person per year.

A. One-tail testing of a mean

B. Two-tail testing of a proportion

C. One-tail testing of a proportion

D. Two-tail testing of a mean

2. Which of the following statements about hypothesis testing is false?

A. In both the one-tailed and two-tailed tests, the rejection region is one contiguous interval on the number line.

B. The rejection region is always given in units of standard deviations from the mean.

C. The test will never confirm the null hypothesis, only fail to reject the null hypothesis.

D. A Type I error is the chance that the researcher rejects the null hypothesis when in fact the null hypothesis is true.

3. A mortgage broker is offering home mortgages at a rate of 9.5%, but the broker is fearful that this value

is higher than many others are charging. A sample of 40 mortgages filed in the county courthouse shows an

average of 9.25% with a standard deviation of 8.61%. Does this sample indicate a smaller average? Use α

= 0.05 and assume a normally distributed population.

A. Yes, because the test statistic is greater than –1.645.

B. No, because the test statistic is –1.85 and falls in the rejection region.

C. Yes, because the sample mean of 9.25 is below 9.5.

D. No, because the test statistic falls in the acceptance region.

4. Determine which of the following four population size and sample size combinations would not require

the use of the finite population correction factor in calculating the standard error.

A. N = 2500; n = 75

B. N = 150; n = 25

C. N = 15,000; n = 1,000

D. N = 1500; n = 300

5. Which of the following statements about p-value testing is true?

A. The p represents sample proportion.

B. The p-value is the lowest significance level at which you should reject H0.

C. P-value testing uses a predetermined level of significance.

D. P-value testing applies only to one-tail tests.

6. To schedule appointments better, the office manager for an ophthalmologist wants to estimate the

average time that the doctor spends with each patient. A random sample of 49 is taken, and the sample

mean is 20.3 minutes. Assume that the office manager knows from past experience that the standard

deviation is 14 minutes. She finds that a 95% confidence interval is between 18.3 and 22.3 minutes. What

is the point estimate of the population mean, and what is the confidence coefficient?

A. 18.3, 0.95

B. 20.3, 0.95

C. 18.3, 95%

D. 20.3, 95%

7. What is the purpose of sampling?

A. To create a point estimator of the population mean or proportion

B. To verify that the population is approximately normally distributed

C. To estimate a target parameter of the population

D. To achieve a more accurate result than can be achieved by surveying the entire population

8. What sample size is required from a very large population to estimate a population proportion within

0.05 with 95% confidence? Don't assume any particular value for p.

A. 767

B. 38

C. 271

D. 385

9. When the confidence coefficient is large, which of the following is true?

A. Its value is close to 1.0, but not larger than 1.0.

B. It's more likely that the test will lead you to reject the null hypothesis.

C. Its value is 1.0 or larger.

D. The confidence interval is narrow.

10. Which of the following statements correctly compares the t-statistic to the z-score when creating a

confidence interval?

A. The value of z relates to a normal distribution, while the value of t relates to a Poisson distribution.

B. You can use t all the time, but for n ≥ 30 there is no need, because the results are almost identical if you use t or z.

C. Use t when the sample size is small, and the resulting confidence interval will be narrower.

D. Using t is easier because you do not have to worry about the degrees of freedom, as you do with z.

11. What is the primary reason for applying a finite population correction coefficient?

A. When the sample is a very small portion of the population, the correction coefficient is required.

B. If you don't apply the correction coefficient, your confidence intervals will be too narrow, and thus overconfident.

C. If you don't apply the correction coefficient, your confidence intervals will be too broad, and thus less useful in decision

making.

D. If you don't apply the correction coefficient, you won't have values to plug in for all the variables in the confidence interval

formula.

12. In the statement of a null hypothesis, you would likely find which of the following terms?

A. =

B. ≠

C. >

D. 2.575

B. z > 2.575

C. |z | > 1.645

D. |z | > 1.96

15. If a teacher wants to test her belief that more than five students in college classes typically receive A as

a grade, she'll perform

A. two-tail testing of a proportion.

B. one-tail testing of a proportion.

C. one-tail testing of a mean.

D. two-tail testing of a mean.

16. A woman and her son are debating about the average length of a preacher's sermons on Sunday

morning. Despite the mother's arguments, the son thinks that the sermons are more than twenty minutes.

For one year, he has randomly selected 12 Sundays and found an average time of 26.42 minutes with a

standard deviation of 6.69 minutes. Assuming that the population is normally distributed and using a 0.05

level of significance, he wishes to determine whether he is correct in thinking that the average length of

sermons is more than 20 minutes. What is the test statistic?

A. –3.32

B. 6.69

C. 3.32

D. 0.95

17. Consider a null hypothesis stating that the population mean is equal to 52, with the research hypothesis

End of exam

that the population mean is not equal to 52. Assume we have collected 38 sample data from which we

computed a sample mean of 53.67 and a sample standard deviation of 3.84. Further assume the sample

data appear approximately normal. What is the test statistic?

A. –2.68

B. 2.64

C. 2.68

D. –2.64

18. Consider a null hypothesis stating that the population mean is equal to 52, with the research hypothesis

that the population mean is not equal to 52. Assume we have collected 38 sample data from which we

computed a sample mean of 53.67 and a sample standard deviation of 3.84. Further assume the sample

data appear approximately normal. What is the p-value you would report for this test?

A. 0.4959

B. 0.0037

C. 0.0041

D. 0.4963

19. A federal auditor for nationally chartered banks, from a random sample of 100 accounts, found that the

average demand deposit balance at the First National Bank of Arkansas was $549.82. If the auditor needed

a point estimate for the population mean for all accounts at this bank, what should he use?

A. The average of $54.98 for this sample

B. The auditor should survey the total of all accounts and determine the mean.

C. The average of $549.82 for this sample

D. There's no acceptable value available.

20. For 1996, the U.S. Department of Agriculture estimated that American consumers would have eaten,

on average, 2.6 pounds of cottage cheese throughout the course of that year. Based on a longitudinal study

of 98 randomly selected people conducted during 1996, the National Center for Cottage Cheese Studies

found an average cottage cheese consumption of 2.75 pounds and a standard deviation of s = 14 ounces.

Given this information, which of the following statements would be correct concerning a two-tail test at the

0.05 level of significance?

A. We can conclude that the average cottage cheese consumption in America isn't 2.6 pounds per person per year.

B. We can conclude that we can't reject the claim that the average cottage cheese consumption in America is 2.6 pounds per

person per year.

C. We can conclude that the average cottage cheese consumption in America is at least 0.705 pound more or less than 2.75

pounds per person per year.

D. We can conclude that the average cottage cheese consumption in America is actually 2.75 pounds per person per year.

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