TEST BANK For Introduction to Statistical
Investigations, 5th Edition by Nathan
Tintle; Beth L. Chance,Complete
Charpters With Verified Solutions
1.The sum of the values of Alpha and Beta
a. always add up to 1.0
b. always add up to 0.5
c. is the probability of Type II error
d. none of these alternatives is correct - CORRECT ANSWERS-d
2. What type of error occurs if you fail to reject H0 when, in fact, it is not true?
a. Type II
b. Type I
c. either Type I or Type II, depending on the level of significance
d. either Type I or Type II, depending on whether the test is one tail or two tail -
CORRECT ANSWERS-a
3. An assumption made about the value of a population parameter is called a
a. hypothesis
b. conclusion
c. confidence
d. significance - CORRECT ANSWERS-a
4. The probability of committing a Type I error when the null hypothesis is true is
a. the confidence level
b. Beta
c. greater than 1
d. the Level of Significance - CORRECT ANSWERS-d
5. In hypothesis testing,
a. the smaller the Type I error, the smaller the Type II error will be
b. the smaller the Type I error, the larger the Type II error will be
c. Type II error will not be effected by Type I error
d. the sum of Type I and Type II errors must equal to 1 - CORRECT ANSWERS-b
6. In hypothesis testing, the tentative assumption about the population parameter is
a. the alternative hypothesis
b. the null hypothesis
c. either the null or the alternative
,d. None of these alternatives is correct. - CORRECT ANSWERS-b
7. For a lower tail test, the p-value is the probability of obtaining a value for the test
statistic
a. at least as small as that provided by the sample
b. at least as large as that provided by the sample
c. at least as small as that provided by the population
d. at least as large as that provided by the population. - CORRECT ANSWERS-a.
8. The p-value is a probability that measures the support (or lack of support) for the
a. null hypothesis
b. alternative hypothesis
c. either the null or the alternative hypothesis
d. sample statistic - CORRECT ANSWERS-a.
9. The p-value
a. is the same as the Z statistic
b. measures the number of standard deviations from the mean
c. is a distance
d. is a probability - CORRECT ANSWERS-d.
10. For a two-tail test, the p-value is the probability of obtaining a value for the test
statistic as
a. likely as that provided by the sample
b. unlikely as that provided by the sample
c. likely as that provided by the population
d. unlikely as that provided by the population - CORRECT ANSWERS-b.
11. In hypothesis testing if the null hypothesis is rejected,
a. no conclusions can be drawn from the test
b. the alternative hypothesis is true
c. the data must have been accumulated incorrectly
d. the sample size has been too small - CORRECT ANSWERS-b.
12. The level of significance is the
a. maximum allowable probability of Type II error
b. maximum allowable probability of Type I error
c. same as the confidence coefficient
d. same as the p-value - CORRECT ANSWERS-b.
13. The power curve provides the probability of
a. correctly accepting the null hypothesis
b. incorrectly accepting the null hypothesis
c. correctly rejecting the alternative hypothesis
d. correctly rejecting the null hypothesis - CORRECT ANSWERS-d.
,14. A Type II error is committed when
a. a true alternative hypothesis is mistakenly rejected
b. a true null hypothesis is mistakenly rejected
c. the sample size has been too small
d. not enough information has been available - CORRECT ANSWERS-a
15. The error of rejecting a true null hypothesis is
a. a Type I error
b. a Type II error
c. is the same as Beta
d. committed when not enough information is available - CORRECT ANSWERS-a. a
Type I error
16. The level of significance in hypothesis testing is the probability of
a. accepting a true null hypothesis
b. accepting a false null hypothesis
c. rejecting a true null hypothesis
d. None of these alternatives is correct. - CORRECT ANSWERS-c
17. The level of significance
a. can be any positive value
b. can be any value
c. is (1 - confidence level)
d. can be any value between -1.96 to 1.96 - CORRECT ANSWERS-c
18. In hypothesis testing if the null hypothesis has been rejected when the alternative
hypothesis has been true,
a. a Type I error has been committed
b. a Type II error has been committed
c. either a Type I or Type II error has been committed
d. the correct decision has been made - CORRECT ANSWERS-d
19. The probability of making a Type I error is denoted by
a. α
b. β
c. 1 - α
d. 1 - β - CORRECT ANSWERS-a
20. The probability of making a Type II error is denoted by
a. α
b. β
c. 1 - α
d. 1 - β - CORRECT ANSWERS-b
21. When the following hypotheses are being tested at a level of significance of α
, H0: μ <= 100
Ha: μ < 100
the null hypothesis will be rejected if the p-value is
a. α
b. > α
c. > α/2
d. α/2 - CORRECT ANSWERS-a
22. When the p-value is used for hypothesis testing, the null hypothesis is rejected if
a. p-value < = α
b. α < p-value
c. p-value>= α
d. p-value = α - CORRECT ANSWERS-a
23. In order to test the following hypotheses at an α level of significance
H0: μ <= 100
Ha: μ > 100
the null hypothesis will be rejected if the test statistic Z is
a. > = Zα
b. < = Zα
c. < -Zα
d. < 100 - CORRECT ANSWERS-a
24. Which of the following does not need to be known in order to compute the p-value?
a. knowledge of whether the test is one-tailed or two-tailed
b. the value of the test statistic
c. the level of significance
d. None of these alternatives is correct. - CORRECT ANSWERS-c
25. In the hypothesis testing procedure, α is
a. the level of significance
b. the critical value
c. the confidence level
d. 1 - level of significance - CORRECT ANSWERS-a
26. If a hypothesis test leads to the rejection of the null hypothesis,
a. a Type II error must have been committed
b. a Type II error may have been committed
c. a Type I error must have been committed
d. a Type I error may have been committed - CORRECT ANSWERS-d
Investigations, 5th Edition by Nathan
Tintle; Beth L. Chance,Complete
Charpters With Verified Solutions
1.The sum of the values of Alpha and Beta
a. always add up to 1.0
b. always add up to 0.5
c. is the probability of Type II error
d. none of these alternatives is correct - CORRECT ANSWERS-d
2. What type of error occurs if you fail to reject H0 when, in fact, it is not true?
a. Type II
b. Type I
c. either Type I or Type II, depending on the level of significance
d. either Type I or Type II, depending on whether the test is one tail or two tail -
CORRECT ANSWERS-a
3. An assumption made about the value of a population parameter is called a
a. hypothesis
b. conclusion
c. confidence
d. significance - CORRECT ANSWERS-a
4. The probability of committing a Type I error when the null hypothesis is true is
a. the confidence level
b. Beta
c. greater than 1
d. the Level of Significance - CORRECT ANSWERS-d
5. In hypothesis testing,
a. the smaller the Type I error, the smaller the Type II error will be
b. the smaller the Type I error, the larger the Type II error will be
c. Type II error will not be effected by Type I error
d. the sum of Type I and Type II errors must equal to 1 - CORRECT ANSWERS-b
6. In hypothesis testing, the tentative assumption about the population parameter is
a. the alternative hypothesis
b. the null hypothesis
c. either the null or the alternative
,d. None of these alternatives is correct. - CORRECT ANSWERS-b
7. For a lower tail test, the p-value is the probability of obtaining a value for the test
statistic
a. at least as small as that provided by the sample
b. at least as large as that provided by the sample
c. at least as small as that provided by the population
d. at least as large as that provided by the population. - CORRECT ANSWERS-a.
8. The p-value is a probability that measures the support (or lack of support) for the
a. null hypothesis
b. alternative hypothesis
c. either the null or the alternative hypothesis
d. sample statistic - CORRECT ANSWERS-a.
9. The p-value
a. is the same as the Z statistic
b. measures the number of standard deviations from the mean
c. is a distance
d. is a probability - CORRECT ANSWERS-d.
10. For a two-tail test, the p-value is the probability of obtaining a value for the test
statistic as
a. likely as that provided by the sample
b. unlikely as that provided by the sample
c. likely as that provided by the population
d. unlikely as that provided by the population - CORRECT ANSWERS-b.
11. In hypothesis testing if the null hypothesis is rejected,
a. no conclusions can be drawn from the test
b. the alternative hypothesis is true
c. the data must have been accumulated incorrectly
d. the sample size has been too small - CORRECT ANSWERS-b.
12. The level of significance is the
a. maximum allowable probability of Type II error
b. maximum allowable probability of Type I error
c. same as the confidence coefficient
d. same as the p-value - CORRECT ANSWERS-b.
13. The power curve provides the probability of
a. correctly accepting the null hypothesis
b. incorrectly accepting the null hypothesis
c. correctly rejecting the alternative hypothesis
d. correctly rejecting the null hypothesis - CORRECT ANSWERS-d.
,14. A Type II error is committed when
a. a true alternative hypothesis is mistakenly rejected
b. a true null hypothesis is mistakenly rejected
c. the sample size has been too small
d. not enough information has been available - CORRECT ANSWERS-a
15. The error of rejecting a true null hypothesis is
a. a Type I error
b. a Type II error
c. is the same as Beta
d. committed when not enough information is available - CORRECT ANSWERS-a. a
Type I error
16. The level of significance in hypothesis testing is the probability of
a. accepting a true null hypothesis
b. accepting a false null hypothesis
c. rejecting a true null hypothesis
d. None of these alternatives is correct. - CORRECT ANSWERS-c
17. The level of significance
a. can be any positive value
b. can be any value
c. is (1 - confidence level)
d. can be any value between -1.96 to 1.96 - CORRECT ANSWERS-c
18. In hypothesis testing if the null hypothesis has been rejected when the alternative
hypothesis has been true,
a. a Type I error has been committed
b. a Type II error has been committed
c. either a Type I or Type II error has been committed
d. the correct decision has been made - CORRECT ANSWERS-d
19. The probability of making a Type I error is denoted by
a. α
b. β
c. 1 - α
d. 1 - β - CORRECT ANSWERS-a
20. The probability of making a Type II error is denoted by
a. α
b. β
c. 1 - α
d. 1 - β - CORRECT ANSWERS-b
21. When the following hypotheses are being tested at a level of significance of α
, H0: μ <= 100
Ha: μ < 100
the null hypothesis will be rejected if the p-value is
a. α
b. > α
c. > α/2
d. α/2 - CORRECT ANSWERS-a
22. When the p-value is used for hypothesis testing, the null hypothesis is rejected if
a. p-value < = α
b. α < p-value
c. p-value>= α
d. p-value = α - CORRECT ANSWERS-a
23. In order to test the following hypotheses at an α level of significance
H0: μ <= 100
Ha: μ > 100
the null hypothesis will be rejected if the test statistic Z is
a. > = Zα
b. < = Zα
c. < -Zα
d. < 100 - CORRECT ANSWERS-a
24. Which of the following does not need to be known in order to compute the p-value?
a. knowledge of whether the test is one-tailed or two-tailed
b. the value of the test statistic
c. the level of significance
d. None of these alternatives is correct. - CORRECT ANSWERS-c
25. In the hypothesis testing procedure, α is
a. the level of significance
b. the critical value
c. the confidence level
d. 1 - level of significance - CORRECT ANSWERS-a
26. If a hypothesis test leads to the rejection of the null hypothesis,
a. a Type II error must have been committed
b. a Type II error may have been committed
c. a Type I error must have been committed
d. a Type I error may have been committed - CORRECT ANSWERS-d
