Question 3 of 5 Submit quiz This question: 2 point(s) possible Use technology and a t-test to test the claim about the population mean u at the given level of signicance or using the given sample statistics. Assume the population is normally distributed. Claim: p. > 73; or = 0.05 Sample statistics: )_(= 74.7, s = 3.4, n = 25 What are the null and alternative hypotheses? Choose the correct answer below. :3:- A. H0: u a4 73 {:1- B. HO: u 2 73 HA1u=73 HA1u73 What is the value of the standardized test statistic? The standardized test statistic is . (Round to two decimal places as needed.) What is the Pvalue of the test statistic? Pvalue = (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. {:2- A. Reject Ho- There is enough evidence to support the claim. {:22- B. Fail to reject H0. There is enough evidence to support the claim. {:2- C. Fail to reject Ho- There is not enough evidence to support the claim. {:2- D. Reject Ho- There is not enough evidence to support the claim. (0 Time Remainina: 00-97-97 @ Submit quiz Question 4 Of 5 This question: 2 point(s) possible You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 33 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At or: 0.01, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 33 28 31 32 33 43 24 25 30 CI 31 33 39 31 26 24 30 31 25 (a) Write the claim mathematically and identify H0 and Ha. Which of the following correctly states H0 and Ha? ciiiz- A. Ho: \"33 '22222- 0. Ho: \"=33 Ha: p233 Ha: p533 Ha: \"#33 .:;:j:- D. Ho: p233 cijiz- E. Ho: \"=33 cijiz- F. Ho: p533 Ha:p33 (b) Use technology to nd the P-value. P = (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? '2: '2- A. Reject H0 because the Pvalue is greater than the signicance level. '2: '2- B. Fail to reject H0 because the Pvalue is greater than the signicance level. '2: '2- C. Reject H0 because the Pvalue is less than the significance level. '2: '2' D. Fail to reject H0 because the Pvalue is less than the significance level. (d) Interpret the decision in the context of the original claim. (0 Time Remainina: 00-97-19