A large number of students at a high school take an Algebra II course that empha

Question

A large number of students at a high school take an Algebra II course that emphasizes calculator use. The chairman of the math department is concerned that students' mental arithmetic skills might be declining through lack of practice during the course. He selects a random sample of students who take the course and gives them a mental arithmetic test (scored out of 30 at the beginning of the course) (Pre Test) and a comparable test at the end of the course (Post Test). The computer output shown below gives the results of a test of H_0: mu_D = 0 versus H_a: mu_D

Explanation / Answer

Since the p-value is less than 0.05 but more than 0.01 we reject null hypothesis at 5% significance level but accept null hypothesis at 1% significance level.

The best conclusion that can be drawn from the analysis is

(D) There is evidence at the 5% level (but not the 1% level) that on average the students' mental arithmetic abilities have decreased.

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