Of / (2 complete) This Quiz: 7 pts possible Question Help A random sample of 76 eighth grade students' scores on a national mathematics assessment test has a mean score of 272. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 270. Assume that the population standard deviation is 38. At a = 0.11, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and Ha . Choose the correct answer below. O A. Ho: H 270 Ha: H 270 Ha: H > 270 (claim) Ha: H > 270 (claim) (b) Find the standardized test statistic z, and its corresponding area. z= (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Reject Ho O Fail to reject Ho is not (e) Interpret your decision in the con is nal claim. At the 11% significance level, there V enough evidence to the administrator's claim that the mean score for the state's eighth graders on the exam is more than 270. ? Click to select your answer(s)