$(15\%)$ A USA Today snapshot shows that men and women feel differently about driving in winter

conditions, as shown in the following graphic. Suppose that the survey involved random samples

of $398$ women and $491$ men who drive in snow.

Does the data indicate that there is a difference in the proportions of men and women who feel

"kind of comfortable" driving in the snow?

$($a$)$ Test using the critical value approach with $=0\mathrm{.}01.$

$($b$)$ Find the $p-$value for the test. Does this confirm your conclusions in part a$?$

$($c$)$ Calculate a confidence interval for the associated test. What is your conclusion?