Question

use the results from a survey of a simple random sample of 1109 adults. among the 1109 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). 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. c. it was stated that we can easily remember how to interpret p - values with this: if the p is low, the null must go. what does this mean? this statement means that if the is low in relation to then one should the

Explanation:

The P - value method and the critical value method are equivalent in hypothesis testing. However, the confidence interval method is different. For a one - tailed hypothesis test (like the claim that more than a certain proportion of adults rate themselves as above - average drivers), the confidence interval method does not always lead to the same conclusion as the P - value and critical value methods. The statement "If the P is low, the null must go" is a mnemonic for hypothesis testing. In hypothesis testing, we compare the P - value (a probability value that measures the evidence against the null hypothesis) to the significance level ($\alpha$). If the P - value is less than the significance level, we reject the null hypothesis.

Answer:

b. B. The confidence interval method is not always equivalent to the other two.
c. This statement means that if the P - value is low in relation to the significance level ($\alpha$), then one should reject the null hypothesis.