To test whether extracurricular activity is a good predictor of college success, a college administrator records...

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To test whether extracurricular activity is a good predictor ofcollege success, a college administrator records whether studentsparticipated in extracurricular activities during high school andtheir subsequent college freshman GPA.
Extracurricular
Activity
College
Freshman GPA
Yes
3.49
Yes
3.31
Yes
3.94
Yes
3.69
No
2.95
No
3.86
No
3.47
No
2.76
No
3.85
No
2.78
(a) Code the dichotomous variable and then compute apoint-biserial correlation coefficient. (Round your answer to threedecimal places.)

(b) Using a two-tailed test at a 0.05 level of significance, statethe decision to retain or reject the null hypothesis.Hint: You must first convert r to at-statistic.
Retain the null hypothesis OR Reject the nullhypothesis.

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Extracurricular Activity	College Freshman GPA
Yes	3.49
Yes	3.31
Yes	3.94
Yes	3.69
No	2.95
No	3.86
No	3.47
No	2.76
No	3.85
No	2.78