According to a study in a previousyear, 51.0% of households nationwide used natural gas for heating during a year.Recently, a survey of 4,500 randomly selected households showed that 52.0% used natural gas. Use a 0.05 significance level to test the claim that the 51.0% national rate has changed.

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

A.

H0: p=0.51

Ha: p<0.51

B.

H0: p=0.51

Ha: p0.51

C.

H0: p0.51

Ha: p=0.51

D.

H0: p=0.51

Ha: p>0.51

Find the test statistic.

z=

nothing

(Round to two decimal places asneeded.)

Find theP-value for the found test statistic.

P-value=

nothing

(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 the percentage of households using natural gas has changed.

B.

Do not reject H0. There is sufficient evidence to support the claim that the percentage of households using natural gas has changed.

C.

Reject H0. There is sufficient evidence to support the claim that the percentage of households using natural gas has changed.

D.

Do not reject H0. There is insufficient evidence to support the claim that the percentage of households using natural gas has changed.