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An educator randomly assigns 100 incoming students to work with a mentor during

ID: 3053433 • Letter: A

Question

An educator randomly assigns 100 incoming students to work with a mentor during their first year and samples another 100 students to serve as a control group. At the end of the year, he compares the proportions in the two groups who have received a repeatable grade in at least one class. He conducted a test at the .05 level of the hypothesis that the proportion with a repeatable grade is higher in the control group than in the mentor group and obtained a p-value of .02. Which of the following statements CANNOT be concluded from the data given?

The results of the test are practically significant.

A university-wide mentorship program will be worth the investment for student success.

The results of the test are statistically significant.

The difference in sample proportions is larger than we would expect to see by chance when the true population proportions are equal.

Explanation / Answer

The statement which cannot be concluded is

The results of the test are statistically significant.

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