(a) What are the null and alternative hypotheses for the relationship between the dependent variable and the primary independent variable of interest? State them using notation, and in words. (b) Interpret the slope coefficient for the primary independent variable, in context. (c) What are the t statistic and p value for this hypothesis test? Interpret the p-value. (d) Do you have evidence to reject the null hypothesis? If so, at what level? State your conclusion.

Variables Operational Form GPA and TV hours Description positive numbers from 1-60 Name points, ranging from 2.0-4.0 subject student identification number high_sch_gpa student's high school GPA hours , ranging from 0-37 tv tv hours of television watched by student per week subject high_sch_GPA 2.2 3.3 3.5 3.1 3.5 3.6 3 3 4 2.3 3.5 3.3 3.2 mmmMmmMMM Mmmmmmmmmsmiteumm gTutoring hours, GPA, and SAT score data Variables Name Description Operational Form student sat score gpa tutoring hours student student identification number positive numbers from 1-25 980 3. 15.0 sat score combined SAT score points, ranging from 400-1600 1550 3.9 22.0 gpa high school grade point average points, ranging from 1.0-4.0 1100 3.6 0.0 tutoring hours hours spent in tutoring program hours, ranging from 0-40 840 2.9 10.0 380 1.9 0.0 770 3.5 15.0 850 3.0 5.0 910 2.6 10.0 1300 3.9 15.0 1400 3.5 10.0 680 3.0 4.0 930 3.3 5.0 1010 3.5 8.0 1230 3.4 10.0 1120 2.9 26.0 690 3.2 5. 990 3.8 0.0 790 3.1 12.0 830 3.0 7.0 1020 3.0 22.0 1200 3.7 5.0 500 2.7 0.0 1260 2.9 20.0 740 2.9 5.0 1410 3.2 20.0