You are the new director of institutional research at a small state university,

Question

You are the new director of institutional research at a small state university, and you have been assigned the task of analyzing information for the dean of the School of Education regarding the performance of their undergraduate students on the often-controversial Graduate Record (GRE). Many educators believe the GRE is a poor evaluator of undergraduate performance as well as a poor predictor of graduate school performance. The dean is considering eliminating the GRE from graduate school admissions requirements.

The dean has already collected data on four variables: 1) gender, 2) grade point average (GPA), 3) GRE score, and 4) graduate degree completion frequency. Your job is to develop a proposed analysis to assist the dean to make an informed decision regarding the future use of the GRE.

A relationship research question involving GPA and GRE scores; corresponding null and alternative hypotheses; the type of statistical analysis to be employed to determine significance; explanations of fictitious outcomes identifying both non-significant and significant relationships as related to both null and alternative hypotheses; and recommendations based on non-significant and significant findings.

Explanation / Answer

Lets set the experiment like this:

Research: The claim that there is a relationship between gpa scores and gre scores

Extra notes: By performing this analysis the dean and his team want to know if there is a relation between gpa scores and gre scores. If there is , then gre scores are relevant to evaluate. If not, then gre scores will not be true criterion to judge a candidate' potential.

We will transalate this to null and alternative hypothesis as:

Hypothesis set: Set up your hypothesis as following:

Null hypothesis: There is no relationship between gpa and gre scores, Ho: r = 0

Alternative hypothesis: There is significant relationship between gpa and gre scores, Ha: r!=0

Sample statitic: Calculate sample correlation between gre and gpa scores and find out the critical r score for alpha = .05

Decision: If your sample correlation at alpha = .05 is more than the magnitude of critical r score then you reject null hypothesis. if not, then you 'fail' to reject null hypothesis

Conclusion: If r> rcritical , then reject null hypothesis and conclude that there is a significant relation between gpa and gre scores

Recommendation: If r< rcritical , then we fail to reject null hypothesis, and say that the claim of team is false.ie. there is no relation between gre and gpa score

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