Question

use the results from a survey of a simple random sample of 1199 adults. among the 1199 respondents, 59% rated themselves as above average drivers. we want to test the claim that more than \\( \frac { 11 } { 20 } \\) of adults rate themselves as above average drivers. complete parts (a) through (e).
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.
d. 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 critical 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 p - value method is not always equivalent to the other two.
d. all three methods are always equivalent to each other.

Explanation:

The P - value method and the critical value method are directly related to hypothesis testing. The confidence interval method is used for estimating a range of values for a population parameter. When dealing with a one - tailed hypothesis test (in this case, a right - tailed test since we are testing if the proportion is more than a certain value), the confidence interval method is not always equivalent to the P - value and critical value methods. For a one - tailed hypothesis test, the confidence level for the confidence interval needs to be adjusted (e.g., for a significance level of \(\alpha\) in a one - tailed test, the confidence level for the equivalent confidence interval is \(1 - 2\alpha\)).

Answer:

B. The confidence interval method is not always equivalent to the other two.