To test whether extracurricular activity is a good predictor of college success, a college administrator records whether students participated in extracurricular activities during high school and their subsequent college freshman GPA.
Extracurricular Activity |
College Freshman GPA |
---|---|
Yes | 3.50 |
Yes | 3.35 |
Yes | 3.90 |
Yes | 3.75 |
No | 2.99 |
No | 3.79 |
No | 3.45 |
No | 2.73 |
No | 3.86 |
No | 2.75 |
(a) Code the dichotomous variable and then compute a point-biserial correlation coefficient. (Round your answer to three decimal places.)
(b) Using a two-tailed test at a 0.05 level of significance, state the decision to retain or reject the null hypothesis. Hint: You must first convert r to a t-statistic.
Retain the null hypothesis.
or
Reject the null hypothesis.
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