A National Organization Has Been Working with Utilities Throughout the Nation

A national organization has been working with utilities throughout the nation to find sites for large wind machines that generate electricity. Wind speeds must average more than 11 miles per hour $( \mathrm { mph } )$ for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site. To determine whether the site meets the organization's requirements, consider the test, $H _ { 0 } : \mu = 11$ vs. $H _ { \mathrm { a } } : \mu > 11$ , where $\mu$ is the true mean wind speed at the site and $\alpha = .01$ . Suppose the observed significance level ( $p$ -value) of the test is calculated to be $p = 0.4052$ . Interpret this result.

A) Since the $p$ -value exceeds $\alpha = .01$ , there is insufficient evidence to reject the null hypothesis.
B) We are $59.48 \%$ confident that $\mu = 11$ .
C) Since the $p$ -value greatly exceeds $\alpha = .01$ , there is strong evidence to reject the null hypothesis.
D) The probability of rejecting the null hypothesis is $0.4052$ .