A study is to be done to determine if type of college (publi…
A study is to be done to determine if type of college (public 4-year, private 4-year, community college) and the acceptance of credit cards for tuition payments are independent. A random sample of colleges is polled and the data is recorded in the table below. Accepts Credit Cards Does not Accept Credit Cards Public 4 – year 84 16 Private 4 – year 78 35 Community College 103 7 Use this information to complete test for independence at a 0.05 level of significance. 1. What are the null and alternative hypotheses for the test for independence in this situation. Ho: H1: 2. Find the test-statistic and the p-value for the hypothesis test. Test-Stat: p-value: 3. What is the initial conclusion? Why? 4. In the table of expected values, what is the entry for the cell corresponding to Community College and Accepts Cards? 5. Why did this data set meet the criteria for completing the hypothesis test? All frequencies are greater than or equal to .