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A professor has noticed that, even though attendance is not a component of the f

ID: 2957083 • Letter: A

Question

A professor has noticed that, even though attendance is not a component of the final grade for the class, students that attend regularly generally get better grades. In fact, 51% of those who come to class on a regular basis receive A's. Only 12% who do not attend regularly get A's. The long run attendance rate is 66%. Based on this class profile find the following:
Hint: pretend that there are 1000 students in the class and use the values given in the problem to construct the appropriate contingency table. Round cell frequencies to the nearest integer

A) The percent who get A's given that they attend class regularly____________
Use 1-decimal precision in your answer

B) The percent who get A's given that they do not attend class regularly___________
Use 1-decimal precision in your answer

C) The overall percent of the students who get A's in the class______________
Use 1-decimal precision in your answer

D) The percent who attend class regularly given that they get A's ____________
Use 1-decimal precision in your answer

E) The odds that a person who attends regularly gets an "A" in the class_____________
Use 3-decimal precision in your answer

F) The odds ratio of getting an A in the class for those attend regularly versus those who do not attend _____________
Use 3-decimal precision in your answer

Explanation / Answer

First, convert. 660 students attend class regularly, leaving 440 students that don't. 51% of the 660 students have an A in the class. Therefore, 660 x 0.51, or about 337 attending-students have an A. 12 % of the 440 non-attending students have an A. Therefore, 440 x .12, or about 53 non-attending students have an A. A)) If it's asking out of attending, then it's 51%. But if it's asking for the number who attend that have A's out of the overall, then its 337 students/1000 total, or 33.7 % of the class. B)) If it's asking out of non-attending, then it's 12%. But if it's asking for the number who don't attend that have A's out of the total, then it's 53 students / 1000 total, or 5.3% of the class. C)) A total of 337 students + 53 students, or 390 students, are currently receiving an A. Therefore, the class average of A's is 390 students/1000 total, or 39.0%. D)) 390 students get A's in the class, and of those 390, 337 attend class regularly. Therefore, 337 students / 390 total, or 86.4% of those that have A's attend regularly. E)) 660 people attend regularly, and 390 people have an A. Therefore, 390 students/ 660 total, or 0.591 odds. F)) Of the 660 that attend regularly, 337 of those have an A. Of the 440 who don't, 53 have an A. 51% of the 66% that attend regularly have an A. That leaves us with 51/66, or 0.773 odds. 12% of 44% have an A. That gives a 12/44, or 0.273 odds.

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