Assume a significance level of $=0\mathrm{.}05$ and use the given information to complete parts $($a$)$ and $($b$)$ below.

Original claim: More than $55\%$ of adults would erase all of their personal information online if they could. The hypothesis test results in

a P$-$value of $0\mathrm{.}3131.$

a$.$ State a conclusion about the null hypothesis. $($Reject $H_0$ or fail to reject $H_0.)$ Choose the correct answer below.

A$.$ Fail to reject $H_0$ because the $P-$value is greater than $.$

B$.$ Reject $H_0$ because the $P-$value is greater than $.$

C$.$ Reject $H_0$ because the $P-$value is less than or equal to $.$

D$.$ Fail to reject $H_0$ because the P$-$value is less than or equal to $.$

b$.$ Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the

correct conclusion?

A$.$ There is not sufficient evidence to support the claim that the percentage of adults that would erase all of their personal

information online if they could is more than $55\%.$

B$.$ The percentage of adults that would erase all of their personal information online if they could is more than $55\%.$

C$.$ The percentage of adults that would erase all of their personal information online if they could is less than or equal to $55\%.$

D$.$ There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information

online if they could is more than $55\%.$