Q3) Hypothesis testing for Pearson’s correlation (3 points total) A fitness coac

Question

Q3) Hypothesis testing for Pearson’s correlation (3 points total)

A fitness coach has been asked by the principal of an elementary school to examine the potential relationship between school children’s physical activity (in number of minutes per week) and their school grades. The data analysis result shows r = .67, p = .04, using a two-tailed test, with an level of .05.

Formulate the null hypothesis and the alternative hypothesis in words and in notation. (1 point total: .5 for each hypothesis- both written and notation need to be correct for the .5 point)

What is the conclusion of the hypothesis test (use wording of “reject” or “fail to reject”)? Explain how you made the decision about the test result. (1 point total: .5 for conclusion, .5 for rationale)

What is the effect size of this test? (1 point)

Explanation / Answer

Null hypothesis: H0: p=0 (There is no linear relationship amongst the variables)

Alternate hypothesis: H1: p#0 (There is linear relationship amongst the variables)

Since p-value<a, we reject the null hypothesis. We conclude that there is a linear relationship amongst the variables.

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