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?

Solutions

Expert Solution


orchestra answered 3 years ago
Next > < Previous

Related Solutions

now identify 4 risks in this project with different level(low, medium, high) of the impact and...
now identify 4 risks in this project with different level(low, medium, high) of the impact and probability. justify your answer
The Detroit housing sector consists of three submarkets, high quality, medium quality and low quality. Assume...
The Detroit housing sector consists of three submarkets, high quality, medium quality and low quality. Assume at first that all three submarkets have perfectly inelastic supply curves. a. Draw supply and demand diagrams for each submarket. b. The demand curve in the middle submarket now shifts down as the result of the outmigration of middle class households to the suburbs. Keeping supply curves perfectly inelastic, draw new supply and demand diagrams showing the new equilibrium positions in each submarket. Explain...
What are the requirement(s) for an investment to be classified in each of the 3 categories?...
What are the requirement(s) for an investment to be classified in each of the 3 categories? Also, that are the requirements for an investment to be accounted for using the equity method of accounting?
What are the requirement(s) for an investment to be classified in each of the 3 categories...
What are the requirement(s) for an investment to be classified in each of the 3 categories (Held-to-Maturity securities, Trading Securities, and available for sale securities)? Also, that are the requirements for an investment to be accounted for using the equity method of accounting?
Low Wages, High Wages, and Taxes. There are two categories of people: those that receive high...
Low Wages, High Wages, and Taxes. There are two categories of people: those that receive high nominal wages and those that receive low nominal wages. Denote these two nominal wages as WH (high wages) and WL (low wages), respectively, and WH > WL . The utility function for each person, regardless of the nominal wage he/she receives, is identical: u (c,l) =lnc +lnl , in which, exactly as in Chapter 2, c stands for consumption and l stands for leisure....
Low Wages, High Wages, and Taxes. There are two categories of people: those that receive high...
Low Wages, High Wages, and Taxes. There are two categories of people: those that receive high nominal wages and those that receive low nominal wages. Denote these two nominal wages as WH (high wages) and WL (low wages), respectively, and WH > WL . The utility function for each person, regardless of the nominal wage he/she receives, is identical: u (c,l) =lnc +lnl , in which, exactly as in Chapter 2, c stands for consumption and l stands for leisure....
Low Wages, High Wages, and Taxes. There are two categories of people: those that receive high...
Low Wages, High Wages, and Taxes. There are two categories of people: those that receive high nominal wages and those that receive low nominal wages. Denote these two nominal wages as WH (high wages) and WL (low wages), respectively, and WH > WL . The utility function for each person, regardless of the nominal wage he/she receives, is identical: u (c,l) =lnc +lnl , in which, exactly as in Chapter 2, c stands for consumption and l stands for leisure....
Distinguish between a low and high income and a low and high economic growth rate. What...
Distinguish between a low and high income and a low and high economic growth rate. What are the key features of an economy that are present when incomes are high or fast growing and absent when incomes are low and stagnating or growing slowly? Provide an example of an economy with a low income and slow growth rate, a low income and rapid growth rate, and a high income with sustained growth over many decades.
A professor tests whether the loudness of noise during an exam (low, medium, and high) is...
A professor tests whether the loudness of noise during an exam (low, medium, and high) is independent of exam grades (pass, fail). The following table shows the observed frequencies for this test.    Noise Level    Low Medium High Exam Pass 20 18 8 46 Fail 8 6 10 24    28 24 18 N = 70 (a) Conduct a chi-square test for independence at a 0.05 level of significance. (Round your answer to two decimal places.) =   (b) Compute...
A professor tests whether the loudness of noise during an exam (low, medium, and high) is...
A professor tests whether the loudness of noise during an exam (low, medium, and high) is independent of exam grades (pass, fail). The following table shows the observed frequencies for this test. Noise Level Low Medium High Exam Pass 21 17 8 46 Fail 8 6 10 24 29 23 18 N = 70 (a) Conduct a chi-square test for independence at a 0.05 level of significance. (Round your answer to two decimal places.) $ \chi_{obt}^2 $ = Decide whether...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT