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A random sample of 89 eighth grade students' scores on a national mathematics assessment test has a mean score of 264. 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 260. Assume that the population standard deviation is 35 Al a =0 09, 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. O A. Ho H= 260 (claim) O B. Ho p 260 H H 2 260 (claim) H p > 260 O D. Ho | 2 260 (claim) OF HO H=260 OF. Ho us 260 H H 260 (claim) H H> 260 (claim) (b) Find the standardized test statistic z, and its corresponding area. =(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. O Fail to reject Ho Reject Ho (e) Interpret your decision in the context of the original claim. At the 9% significance level, there is not| enough evidence to support the administrator's claim that the mean score for the state's eighth graders on the exam is more than 260