A random sample of 816 births included 434 boys. Use a 0.10 significance level to test the claim that 51.4?% of newborn babies are boys. Do the results support the belief that 51.4?% of newborn babies are? boys? Identify the null and alternative hypotheses for this test. H0?: p [ Select ] [">", "<", "=", "?"] 0.514 H1?: p [ Select ] ["?", ">", "<", "="] 0.514 Identify the test statistic for this hypothesis test. ?(Round to two decimal places as? needed.) The test statistic for this hypothesis test is [ Select ] ["1.02", "1.21", "1.05", "1.56"] . Identify the? P-value for this hypothesis test. (Round to three decimal places as? needed.) The? P-value for this hypothesis test is [ Select ] ["0.370", "0.307", "0.703", "0.366"] . Identify the conclusion for this hypothesis test. [ Select ] ["Reject H0. There is not sufficient evidence to warrant rejection of the claim that 51.4% of newborn babies are boys.", "Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that 51.4% of newborn babies are boys.", "Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that 51.4% of newborn babies are boys.", "Reject H0. There is 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? [ Select ] ["The results do not support the belief that 51.4% of newborn babies are? boys; the results merely show that there is not strong evidence against the rate of 51.4%.", "The results do not support the belief that 51.4% of newborn babies are? boys; the results merely show that there is strong evidence against the rate of 51.4%.", "The results do support the belief that 51.4% of newborn babies are? boys; the results merely show that there is not strong evidence against the rate of 51.4%.", "The results do support the belief that 51.4% of newborn babies are? boys; the results merely show that there is strong evidence against the rate of 51.4%."]