A random sample of 876 births included 433 boys. Use a 0.10 significance level to test the claim that 51.4% of newborn babies are boys. Do the resultssupport the belief that 51.4% of newborn babies are boys?Identify the null and alternative hypotheses for this test. Choose the correct answer below.O A. Ho: p= 0.514H1:p>0.514O B. Ho: p 0.514H1: p=0.514O C. Ho:p=0.514H1:p#0.514O D. Ho: p=0.514H,: p<0.514Identify 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 as needed.)IdontifuiL Identify the conclusion for this hypothesis test.O A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that 51.4% of newborn babies are boys.B. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that 51.4% of newborn babies are boys.O C. Reject Ho. There is sufficient evidence to warrant rejection of the claim that 51.4% of newborn babies are boys.D. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that 51.4% of newborn babies are boys.Do the results support the belief that 51.4% of newborn babies are boys?O A. The results support the belief that 51.4% of newborn babies are boys because there was no evidence to show that the belief is untrue.O B. The results do not support the belief that 51.4%newborn babies are boys; the results merely show that there is not strong evidence againstthe rate of 51.4%.O C. The results support the belief that 51.4% of newborn babies are boys because there was sufficient evidence to show that the belief is true.O D. The results do not support the belief that 51.4% of newborn babies are boys because there was sufficient evidence to show that the belief isuntrue.O O

A random sample of 876 births included 433 boys. Use a 0.10 significance level to test the claim that 51.4% of newborn babies are boys. Do the res support the belief that 51.4% of newborn babies are boys? Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p= 0.514 H1:p>0.514 O B. Ho: p 0.514 H1: p=0.514 O C. Ho: p=0.514 H:p#0.514 O D. Ho: p=0.514 H1: p<0.514