use alpha = 0.05 for hypothesis testing unless specified otherwise

3. A sample of 31 people took a written driver's license exam. Two variables were measured on them: The result of the exam (0 = fail, 1 = pass), and how much time (in hours) the person studied for the exam. Using the data, fit an appropriate regression model to determine whether time spent studying is a useful predictor of the chance of passing the exam. Formally assess the overall fit of the model. Formally assess whether time spent studying is a useful predictor(as always, providing numerical justification (test statistic and P-value) for your conclusion).Carefully interpret what the estimated model tells you about how the chance of passing the exam changes as the time spent studying changes. A prospective examinee named Matthewspent 3.0 hours studying for his written exam. Estimate (with a point estimate and with a 90%interval) his probability of passing the exam. Based on this estimate, predict whether he will pass or fail.

/* Problem 3 */

DATA three;

INPUT result hours;

/* result=0 is fail; result=1 is pass */

cards;

0 0.8

0 1.6

0 1.4

1 2.3

1 1.4

1 3.2

0 0.3

1 1.7

0 1.8

1 2.7

0 0.6

0 1.1

1 2.1

1 2.8

1 3.4

1 3.6

0 1.7

1 0.9

1 2.2

1 3.1

0 1.4

1 1.9

0 0.4

0 1.6

1 2.5

1 3.2

1 1.7

1 1.9

0 2.2

0 1.3

1 1.5

;

run;