A random sample of 89 eighth grade​ students' scores on a national mathematics assessment test has a mean score of 289 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 35. At α=0.04 is there enough evidence to support the​ administrator's claim? Complete parts​ (a) through​ (e).   ​(a) Write the claim mathematically and identify Upper H0 and Upper Ha (b) Find the standardized test statistic​ z, and its corresponding area.   Z= ​(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.   A) Fail to reject Upper H0   B) mReject Upper H0   ​(e) Interpret your decision in the context of the original claim.   At the 4​% significance​ level, there ▼ is/is not   enough evidence to ▼ support/reject   the​ administrator's claim that the mean score for the​ state's eighth graders on the exam is more than 285

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