Question

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An educational researcher wishes to know if there is a difference in academic performance for college freshmen that live on campus and those that commute. Data was collected from 385 students. Can we conclude that freshman housing location and academic performance are related? Location On campus off campus Total Average Below Average Above Average Total 108 124 124 356 27 29 135 125 125 385 1 1 Copy Data Step 4 of 8: Find the value of the test statistic. Round your answer to three decimal places.

Answer 1

Total Above asorage observed Co ) Average Below Average 194 108 Lacation on Campus 356 124 २० off Campus 1 27 Tatal 385 125 125 135 Expected (E) Total Tacation Below Aue. Above ave. Average 124.831 115.584 115.584 356 on obb 10 . 1699 g.416 ORE 9.416 29 ·125 Total 385 1995 13 5 Chi Square = (0i-Fi)?/E; Location Below Ame. Above Aue. Average 2.26937 Total 3.49483 0.61 273 0.61273 on off 27.8585 7.52179 .7.52179 42.90208 30.19787 Total 8.13452 8.13459 46.39691 Chi-square test site statistic value is a [ (0;-&; )? 46.39 691 x² 46.397 E;