Arandom sample of 79 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 32. At a0.11, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Wite the claim mathematically and identify Hy and H, Choose the correct answer below OA. Hg: p=270 (dlaim) H, > 270 D. H s270 H, p> 270 (caim) OB H<270 H, pa270 (claim) OE H p2270 (claim) H, p<270 OC H us270 (claim) H, p> 270 OF. H p=270 H, p> 270 (dlaim) (b) Find the standardized test statistic z and its coresponding area z-O Round to two decimal places as needed)

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