In a pre-election poll, a candidate for district attorney receives 228 of 450 votes. 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: p=0.5 Upper H Subscript a: p<0.5

B.

Upper H 0: p>0.5Upper H Subscript a: p= 0.5

Your answer is not correct.

C.

Upper H 0: p=0.5 Upper H Subscript a: p not =0.5

D.

Upper H 0: p=0.5 Upper H Subscript a: p > 0.5 This is the correct answer.

Find the test statistic.

z=

(Round to two decimal places as needed.)

P=