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## A random sample of 80 eighth grade students' scores on a national mathematics assessment test has a mean score of 273

**Question Help**

A random sample of 80 eighth grade students' scores on a national mathematics assessment test has a mean score of 273. 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 a=0.03, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below.

A. Ho: u = 270

Ha:p> 270 (claim)

B. Ho: u = 270 (claim)

Ha:p> 270

D. Ho: u270 (claim)

E. Ho: u<270> Ha: u > 270 (claim)

C. Ho:u 270

Ha:p> 270 (claim)

F. Ho: u> 270 (claim)

Ha:u<270>
(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.

(e) Interpret your decision in the context of the original claim.

*At the 3% 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*