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Rankings of MBA programs. Refer to the Business Ethics
Chapter 10, Problem 8E(choose chapter or problem)
Rankings of MBA programs. Refer to the Business Ethics (Fall 2005) rankings of master in business administration (MBA) programs worldwide, Exercise 2.16 (p. 51). Recall that each of 30 business schools was rated according to student exposure to social and environmental issues in the classroom. Ratings ranged from 1 star (lowest-rated group) to 5 stars (highest-rated group). A summary of the star ratings assigned to the 30 MBA programs is reproduced in the table.
a. Identify the categorical variable (and its levels) measured in this study.
b. How many of the sampled MBA programs would you expect to observe in each star rating category if there are no differences in the category proportions in the population of all MBA programs?
c. Specify the null and alternative hypotheses for testing whether there are differences in the star rating category proportions in the population of all MBA programs.
d. Calculate the x2 test statistic for testing the hypotheses in part c.
e. Give the rejection region for the test using α = .05.
f. Use the results, parts d and e, to make the appropriate conclusion.
g. Find and interpret a 95% confidence interval for the proportion of all MBA programs that are ranked in the three-star category.
Questions & Answers
QUESTION:
Rankings of MBA programs. Refer to the Business Ethics (Fall 2005) rankings of master in business administration (MBA) programs worldwide, Exercise 2.16 (p. 51). Recall that each of 30 business schools was rated according to student exposure to social and environmental issues in the classroom. Ratings ranged from 1 star (lowest-rated group) to 5 stars (highest-rated group). A summary of the star ratings assigned to the 30 MBA programs is reproduced in the table.
a. Identify the categorical variable (and its levels) measured in this study.
b. How many of the sampled MBA programs would you expect to observe in each star rating category if there are no differences in the category proportions in the population of all MBA programs?
c. Specify the null and alternative hypotheses for testing whether there are differences in the star rating category proportions in the population of all MBA programs.
d. Calculate the x2 test statistic for testing the hypotheses in part c.
e. Give the rejection region for the test using α = .05.
f. Use the results, parts d and e, to make the appropriate conclusion.
g. Find and interpret a 95% confidence interval for the proportion of all MBA programs that are ranked in the three-star category.
ANSWER:
Step 1 of 8
The given table shows rankings of master in business administration (MBA) programs worldwide.
