A random sample of 90 eighth grade students' scores on a national mathematics assessment test has a mean score of 275. This test result prompts a state school admi exam is more than 270. Assume that the population standard deviation is 31. At a0.09, is there enough evidence to support the administrator's claim? Complete parta (a) Write the claim mathematically and identify Ho and H. Choose the correct answer below. OA. Ho p2270 (claim) Hu<270 O B. H ps270 (claim) H> 270 OE H u=270 (claim) H, > 270 Oc. OD. Hoi u 270 Hiu> 270 (dlaim) OF (b) Find the standardized test statistic z, and its corresponding area. z-O (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.

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