have to: (a) Write the claim mathematically and identify H0 and Ha (b) Find the standardized test statistic Z and its corresponding area. (c) Find the P-value. (d) Decide whether to reject or fail to reject the null hypothesis. (e) Interpret the decision in the context of the original claim. In Illinois, a random sample of 85 eighth grade students has a mean of score of 265 with a standard Deviation of 55 on a national mathematics assessment test. this test results prompts a state school administrator to declare that the mean score for the state's eighth graders on the examination is more that 260. at a=0.04 is there enough evidence to support the administators claim?