A random sample of

872

births included

432

boys. Use a

0.10

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 are boys?

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

A.

H0:

p=0.507

H1:

p0.507

B.

H0:

p=0.507

H1:

p>0.507

C.

H0:

p0.507

H1:

p=0.507

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

enter your response here.

(Round to two decimal places as needed.)Identify the P-value for this hypothesis test.The P-value for this hypothesis test is

enter your response here.

(Round to three decimal places as needed.)Identify the conclusion for this hypothesis test.

A.

Reject

H0.

There

is

sufficient evidence to warrant rejection of the claim that

50.7%

of newborn babies are boys.

B.

Failtoreject

H0.

There

isnot

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 are boys?

A.

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.

B.

The results do not support the belief that

50.7%

of newborn babies are boys; the results merely show that there is not strong evidence against the rate of

50.7%.

C.

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.

D.

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.