Strongly opposed Freshman Sophomore Junior Senior Yes 78 72 58 36 No 22 28 42 64

Question

Strongly opposed

Freshman

Sophomore

Junior

Senior

Yes

78

72

58

36

No

22

28

42

64

To compare the four classes (freshman, sophomore, junior, senior) with respect to their opinion regarding the proposed tuition increase (yes = opposed, no = not opposed), which distribution should we calculate?

Recent revenue shortfalls in a southern state led to a reduction in the state budget for higher education. To offset the reduction, the largest state university proposed a 20% tuition increase. It was determined that such a large increase was needed to simply compensate for lost support from the state. Random samples of 100 freshmen, 100 sophomores, 100 juniors, and 100 seniors from the university were asked whether they were strongly opposed to the increase, given that it was the minimum increase necessary to maintain the university's budget at current levels. The results are given in the following table.

Strongly opposed

Freshman

Sophomore

Junior

Senior

Yes

78

72

58

36

No

22

28

42

64

To compare the four classes (freshman, sophomore, junior, senior) with respect to their opinion regarding the proposed tuition increase (yes = opposed, no = not opposed), which distribution should we calculate?

a. the marginal distribution of year in school b. the conditional distribution of opinion given year in school c. the conditional distribution of year in school given opinion d. the joint distribution of year in school and opinion

Explanation / Answer

For comparing the four classes, we can find the conditional distribution with respect to their opinion if the value of year is school is given. that is answer is b correct.

b. the conditional distribution of opinion given year in school

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