A random sample of 853 births included 434 boys. Use a 0.10 significance level to test the claim that 51.2% of newborn babies are boys. Do the results support the belief that 51.2% of newborn babies are boys?

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A random sample of 853 births included 434 boys. Use a 0.10 significance level to test the claim that 51.2% of newborn babies are boys. Do the results support the belief that 51.2% of newborn babies are boys?
Identify the null and alternative hypotheses for this test. Choose the correct answer below.
O A. Ho: p+0.512
H1:p=0.512
О В. Но: р30.512
H1:p>0.512
О с. Но: р-0.512
H1:p+0.512
D. Ho: p= 0.512
H1:p<0.512
Identify the test statistic for this hypothesis test.
The test statistic for this hypothesis test is
(Round to two decimal places as needed.)
Identify the P-value for this hypothesis test.
The P-value for this hypothesis test is
(Round to three decimal places
needed.)
Identify the conclusion for this hypothesis test.
O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that 51.2% of newborn babies are boys.
B. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that 51.2% of newborn babies are boys.
O C. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that 51.2% of newborn babies are boys.
D. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that 51.2% of newborn babies are boys.
Do the results support the belief that 51.2% of newborn babies are boys?
A. The results support the belief that 51.2% 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 51.2% of newborn babies are boys; the results merely show that there is not strong evidence against the rate of 51.2%.
C. The results do not support the belief that 51.2% of newborn babies are boys because there was sufficient evidence to show that the belief is untrue.
D. The results support the belief that 51.2% of newborn babies are boys because there was sufficient evidence to show that the belief is true.
Transcribed Image Text:A random sample of 853 births included 434 boys. Use a 0.10 significance level to test the claim that 51.2% of newborn babies are boys. Do the results support the belief that 51.2% of newborn babies are boys? Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p+0.512 H1:p=0.512 О В. Но: р30.512 H1:p>0.512 О с. Но: р-0.512 H1:p+0.512 D. Ho: p= 0.512 H1:p<0.512 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places needed.) Identify the conclusion for this hypothesis test. O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that 51.2% of newborn babies are boys. B. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that 51.2% of newborn babies are boys. O C. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that 51.2% of newborn babies are boys. D. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that 51.2% of newborn babies are boys. Do the results support the belief that 51.2% of newborn babies are boys? A. The results support the belief that 51.2% 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 51.2% of newborn babies are boys; the results merely show that there is not strong evidence against the rate of 51.2%. C. The results do not support the belief that 51.2% of newborn babies are boys because there was sufficient evidence to show that the belief is untrue. D. The results support the belief that 51.2% of newborn babies are boys because there was sufficient evidence to show that the belief is true.
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