A survey by Men's Health magazine stated that $14 \%$ of all men said that they used exercise to relieve stress. A random sample of 100 men was selected, and 9 said that they used exercise to relieve stress. Use the $P$-value method to test the claim. Use $\alpha = 0.10$.
A) There is not enough information to draw a conclusion.
B) Yes. There is not enough evidence to reject the claim that the percentage of men who use exercise to relieve stress is 14%.
C) No. There is enough evidence to reject the claim that the percentage of men who use exercise to relieve stress is 14%.

Question

Quizplus · Accepted Answer

The p-value method involves calculating the probability of observing a sample statistic as extreme as the test statistic, under the assumption that the null hypothesis is true. In this case, the null hypothesis is that the true proportion of men who use exercise to relieve stress is 14% (p = 0.14). The sample proportion is 9 out of 100, or 0.09. Using a significance level of $\alpha = 0.10$, if the calculated p-value is greater than $\alpha$, we do not have enough evidence to reject the null hypothesis. Given the information provided, we do not have the exact p-value, but the correct approach with the given options is to not reject the null hypothesis based on the information provided, implying there is not enough evidence to reject the claim that 14% of men use exercise to relieve stress.

A Survey by Men's Health Magazine Stated That 14%14 \%14% Of All Men Said That They Used Exercise to Relieve

A Survey by Men's Health Magazine Stated That $14 \%$ Of All Men Said That They Used Exercise to Relieve