Research Classification of Higher Education. The Carnegie Classification of Institutes of Higher Education categorizes colleges and universities on the basis of their research and degree-granting activities. Universities that grant doctoral degrees are placed into one of three classifications: moderate research activity, higher research activity, or highest research activity. The Carnegie classifications for public and not-for-profit private doctoral degree-granting universities are summarized in the following table. Test the hypothesis that the population proportions of public universities are equal in each Carnegie classification category. Use a .05 level of significance. What is the p-value and what is your conclusion?
Generational Differences in Workplace Attitudes. In 2015, Addison Group (a provider of professional staffing services) and Kelton (a global insights firm) surveyed the work preferences and attitudes of 1,006 working adults spread over three generations: baby boomers, Generation X, and millennials (Society for Human Resource Management website). In one question, individuals were asked if they would leave their current job to make more money at another job. The file Millenials contains the sample data, which are also summarized in the following table. Conduct a test of independence to determine whether interest in leaving a current job for more money is independent of employee generation. What is the p-value? Using a .05 level of significance, what is your conclusion?
M&M Candy Colors. Mars, Inc. manufactures M&Mâ€™s, one of the most popular candy treats in the world. The milk chocolate candies come in a variety of colors including blue, brown, green, orange, red, and yellow. The overall proportions for the colors are .24 blue, .13 brown, .20 green, .16 orange, .13 red, and .14 yellow. In a sampling study, several bags of M&M milk chocolates were opened and the following color counts were obtained. Use a .05 level of significance and the sample data to test the hypothesis that the overall proportions for the colors are as stated above. What is your conclusion?