Z and P value? Also Reject or Fail to reject

x 7.2.31-T Question Help A random sample of 79 eighth grade students' scores on a national mathematics assessment test has a mean score of 290. 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 285. Assume that the population standard deviation is 40. At a = 0.03, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and H.. Choose the correct answer below. A. Ho: HI s 285 (claim) O B. Ho: H = 285 O C. Ho:H 285 Hatu> 285 (claim) Ha: H 2 285 (claim) O D. Ho: H 2 285 (claim) ME. Holds285 OF Ho: H = 285 (claim) Hius 285 Ha: H> 285 (claim) Has us 285 (b) Find the standardized test statistic z, and its corresponding area z=|(Round to two decimal places as needed.)