Onestudy, based on responses from 1,016 randomly selectedteenagers, concluded that 42% 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.

H0: p=0.5

Ha: p<0.5

B.

H0: p<0.5

Ha: p=0.5

C.

H0: p=0.5

Ha: p0.5

D.

H0: p=0.5

Ha: p>0.5

Find the test statistic.

z= ?

(Round to two decimal places asneeded.)

Find theP-value for the found test statistic.

P-value= ?

(Round to four decimal places asneeded.)

State the conclusion. Choose the correct answer below.

A.

Reject H0. There is insufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.

B.

Do not reject H0. There is sufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.

C.

Do not reject H0. There is insufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.

D.

Reject H0. There is sufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.