Question

In: Statistics and Probability

4. Assume that the Graduation Rate is classified into 3 categories (Low, Medium, High) in the...

4. Assume that the Graduation Rate is classified into 3 categories (Low, Medium, High) in the following way:

Low is considered to be a rate that is less than 0.66,

Medium is between 0.66 and less than 0.80, and

High is at least 0.80.

Assume that the Student-to-Faculty ratio is also classified into 3 categories:

Category 1: Up to 10 student-to-faculty ratio,

Category 2: between 11 and 18 student-to-faculty ratio

Category 3: greater than 18 student-to-faculty ratio

The following contingency table summarizes the categorized information :

Graduation Rate

Student-to-Faculty Ratio

Category1 (≤10)

Category2 (between 11 and 18)

Category3 ( > 18)

Σ

Low (< 0.66)

9

77

27

113

Medium (≥0.66 and < 0.80)

21

20

2

43

High (≥0.80)

26

10

0

36

Σ

56

107

29

192

Using these defined categories, determine if the student-to-faculty ratio is independent of the graduation rate. Test this at a 0.05 level of significance.

What is your conclusion?

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Expert Solution


orchestra answered 1 year ago
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