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 | 3.47 |
Yes | 3.38 |
Yes | 3.93 |
Yes | 3.71 |
No | 2.92 |
No | 3.86 |
No | 3.41 |
No | 2.80 |
No | 3.93 |
No | 2.76 |
(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.
Reject the null hypothesis.
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