A random sample of 835 births included 430 boys. Use a 0.05 significance level to test the claim that 50.7% of newborn babies are boys. Do the results support the belief that 50.7% of newborn babies areboys?

A random sample of 835 births included 430 boys. Use a 0.05 significance level to test the claim that 50.7% of newborn babies are boys. Do the results support the belief that 50.7% of newborn babies areboys?

Identify the null and alternative hypotheses for this test. Choose the correct answer below.

A.

H0: p=0.507

H1: p>0.507

B.

H0: p0.507

H1: p=0.507

C.

H0: p=0.507

H1: p0.507

D.

H0: p=0.507

H1: p<0.507

Identify the test statistic for this hypothesis test.

The test statistic for this hypothesis test is ____

.

(Round to two decimal places asneeded.)

Identify theP-value for this hypothesis test.

TheP-value for this hypothesis test is ______

.

(Round to three decimal places asneeded.)

Identify the conclusion for this hypothesis test.

A.

Failtoreject H0. There isnot sufficient evidence to warrant rejection of the claim that 50.7% of newborn babies are boys.

B.

Reject H0. There is sufficient evidence to warrant rejection of the claim that 50.7% of newborn babies are boys.

C.

Reject H0. There isnot sufficient evidence to warrant rejection of the claim that 50.7% of newborn babies are boys.

D.

Failtoreject H0. There is sufficient evidence to warrant rejection of the claim that 50.7% of newborn babies are boys.

Do the results support the belief that 50.7% of newborn babies areboys?

A.

The results support the belief that 50.7% of newborn babies are boys because there was no evidence to show that the belief is untrue.

B.

The results do not support the belief that 50.7% of newborn babies areboys; the results merely show that there is not strong evidence against the rate of 50.7%.

C.

The results do not support the belief that 50.7% of newborn babies are boys because there was sufficient evidence to show that the belief is untrue.

D.

The results support the belief that 50.7% of newborn babies are boys because there was sufficient evidence to show that the belief is true.