One study, based on responses from 1 comma 024 randomly selected teenagers, concluded that 41% of teenagers cite grades as their greatest source of pressure. Use a 0.05 significance level to test the claim that fewer than half of all teenagers in the population feel that grades are their greatest source of pressure.Formulate the null and alternative hypotheses. Choose the correct answer below.

A.

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

B.

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

C.

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

Your answer is correct.

D.

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

Find the test statistic.z=

(Round to two decimal places as needed.)

P=