9. A random sample of 827 births included 433 boys. Use a 0.01 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. Choose the correct answer below.O A. H,: p#0.514H,: p= 0.514О В. Но: р30.514H,:p<0.514O C. H,: p= 0.514H,:p>0.514D. 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.)Identify the conclusion for this hypothesis test.O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that 51.4% of newborn babies are boys.O B. Fail to reject H,. There is sufficient evidence to warrant rejection of the claim that 51.4% of newborn babies are boys.O C. Reject Hn. There is not sufficient evidence to warrant rejection of the claim that 51.4% of newborn babies are boys.O D. Fail to reject Hn. 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 sufficient evidence to show that the belief is true.O B. 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 is untrue.O C. 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 D. 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%.

Given that Sample size n =827 Favorable cases x =433 Sample proportion p^=x/n =433/827 =0.5236

A random sample of 827 births included 433 boys. Use a 0.01 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? dentify the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho: p#0.514 H,:p= 0.514 О В. Н р30.514 H,:p<0.514 O C. Ho: p= 0.514 H,:p>0.514 D. Ho: p=0.514 H;:p#0.514 dentify the test statistic for this hypothesis test. The test statistic for this hypothesis test is Round to two decimal places as needed.) dentify the P-value for this hypothesis test. The P-value for this hypothesis test is Round to three decimal places as needed.) dentify the conclusion for this hypothesis test. O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that 51.4% of newborn babies are boys. OB. Fail to reject Hp. There is sufficient evidence to warrant rejection of the claim that 51.4% of newborn babies are boys. O C. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that 51.4% of newborn babies are boys. O D. Fail to reject H,. 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 sufficient evidence to show that the belief is true. O B. 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 is untrue. O C. 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 D. 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%.

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?