Use the results from a survey of a simple random sample of 1182 adults. Among the 1182 respondents, 71% rated themselves as above average drivers. We want to test the claim that more than of adults rate themselves as above average drivers. Complete parts (a) through (e). 8. Regardless of the conclusion reached from the hypothesis test, is it possible that more than of adults can be above average drivers? OA. No. Assuming quality of driving can be quantified, half of all adults must have driving quality less than or equal to the mean OB. Yes. Assuming quality of driving can be quantified, a distribution that is extremely skewed to the right would be the most promising scenario for more than this proportion of adults to have driving quality that is above the mean C. Yes. Assuming quality of driving can be quantified, a distribution that is extremely skewed to the left would be the most promising scenario for more than this proportion of adults to have driving quality that is above the mean OD. No. It is impossible to compare the quality of different adults driving. b. If we use the same significance level to conduct the hypothesis test using the P-value method, the critical value method, and a confidence interval, which method is not always equivalent to the other two? OA. The P-value method is not always equivalent to the other two OB. The confidence interval method is not always equivalent to the other two OC. The critical value method is not always equivalent to the other two. OD. All three methods are always equivalent to each other. C

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Use the results from a survey of a simple random sample of 1162 adults. Among the 1162 respondents, 71% rated themselves as above average drivers. We want to test the claim that more than \(\frac{2}{3}\) of adults rate themselves as above average drivers. Complete parts (a) through (e).

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**a.** Regardless of the conclusion reached from the hypothesis test, is it possible that more than \(\frac{2}{3}\) of adults can be above average drivers?

- ○ No. Assuming quality of diving can be quantified, half of all adults must have a driving quality less than or equal to the mean.
- ○ Yes. Assuming quality of driving can be quantified, a distribution that is extremely skewed to the right would be the most promising scenario for more than this proportion of adults to have driving quality that is above the mean.
- ● Yes. Assuming quality of driving can be quantified, a distribution that is extremely skewed to the left would be the most promising scenario for more than this proportion of adults to have driving quality that is above the mean.
- ○ No. It is impossible to compare the quality of different adults' driving.

**b.** If we use the same significance level to conduct the hypothesis test using the P-value method, the critical value method, and a confidence interval, which method is not always equivalent to the other two?

- ○ A. The P-value method is not always equivalent to the other two.
- ○ B. The confidence interval method is not always equivalent to the other two.
- ● C. The critical value method is not always equivalent to the other two.
- ○ D. All three methods are always equivalent to each other.
Transcribed Image Text:Use the results from a survey of a simple random sample of 1162 adults. Among the 1162 respondents, 71% rated themselves as above average drivers. We want to test the claim that more than \(\frac{2}{3}\) of adults rate themselves as above average drivers. Complete parts (a) through (e). --- **a.** Regardless of the conclusion reached from the hypothesis test, is it possible that more than \(\frac{2}{3}\) of adults can be above average drivers? - ○ No. Assuming quality of diving can be quantified, half of all adults must have a driving quality less than or equal to the mean. - ○ Yes. Assuming quality of driving can be quantified, a distribution that is extremely skewed to the right would be the most promising scenario for more than this proportion of adults to have driving quality that is above the mean. - ● Yes. Assuming quality of driving can be quantified, a distribution that is extremely skewed to the left would be the most promising scenario for more than this proportion of adults to have driving quality that is above the mean. - ○ No. It is impossible to compare the quality of different adults' driving. **b.** If we use the same significance level to conduct the hypothesis test using the P-value method, the critical value method, and a confidence interval, which method is not always equivalent to the other two? - ○ A. The P-value method is not always equivalent to the other two. - ○ B. The confidence interval method is not always equivalent to the other two. - ● C. The critical value method is not always equivalent to the other two. - ○ D. All three methods are always equivalent to each other.
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