P value, Reject or fail to reject?

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 Ha. Choose the correct answer below. O A. Ho: HS 285 (claim) O B. Ho: H =285 O C. Ho: H 285 Ha: p > 285 (claim) Ha: p 2 285 (claim) O D. Ho: H 2 285 (claim) ME. Ho: HS 285 OF. Ho: H= 285 (claim) Ha: H 285 (claim) Hasp> 285 (b) Find the standardized test statistic z, and its corresponding area z= 1.11 (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.)