In a pre-election poll, a candidate for district attorney receives 256of 500votes. Assuming that the people polled represent a random sample of the voting population, test the claim that a majority of voters support the candidate. Use a 0.05 significance level to conduct a hypothesis test using the four-step procedure. Be sure to state your conclusion.

Formulate the null and alternative hypotheses. Choose the correct answer below.

A.

Upper H 0:pequals0.5Upper H Subscript a:pgreater than0.5Your answer is correct.

B.

Upper H 0:pequals0.5Upper H Subscript a:pless than0.5

C.

Upper H 0:pequals0.5Upper H Subscript a:pnot equals0.5

D.

Upper H 0:pgreater than0.5Upper H Subscript a:pequals0.5

Find the test statistic. z (Round to two decimal places as needed.)

Find the p-value