7. 13 points PriviteraStats2 15.E.023 My Notes Ask Your Teacher A researcher mea

Question

7. 13 points PriviteraStats2 15.E.023 My Notes Ask Your Teacher A researcher measures the relationship between Internet use (hours per week) and social interaction (hours per week) in a sample of 10 students. The following table lists the hypothetical results of this study Internet Use Social Interactiorn 6 8 6 6 4 6 10 10 (a) Compute the Pearson correlation coefficient. (Round your answer to three decimal places.) (b) Compute the coefficient of determination. (Round your answer to three decimal places.) (c) Using a two-tailed test at a 0.05 level of significance, state the decision to retain or reject the null hypothesis. Retain the null hypothesis. Reject the null hypothesis.

Explanation / Answer

The statistical software output for this problem is:

Correlation between X and Y is:
-0.46583512

Hence,

a) Correlation coefficient = -0.466

b) Coefficient of determination = (-0.466)2 = 0.217

c) Retain the Null hypothesis

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