Mechele Neal Statistics assignment 4eProblems 15.3, 15.6, 15.7, 15.20, 15.22 and 15.41a, b and c15.3 What is the difference between the chi-square test for goodness-of-fit and the chi-square test for...

Mechele Neal Statistics assignment 4e Problems 15.3, 15.6, 15.7, 15.20, 15.22 and 15.41a, b and c 15.3 What is the difference between the chi-square test for goodness-of-fit and the chi-square test for independence? The chi-square test for goodness-of-fit is a nonparametric hypothesis test used with one nominal variable. The chi-square test for independence is a nonparametric test used with two nominal variables. 15.6 What are the hypotheses when conducting the chi-square test for goodness-of-fit? 15.7 How are the degrees of freedom for the chi-square hypothesis tests different from those of most other hypothesis tests? In most previous hypothesis tests, the degrees of freedom have been based on sample size. For the chi-square hypothesis tests, however, the degrees of freedom are based on the numbers of categories, or cells, in which participants can be counted. For example, the degrees of freedom for the chi-square test for goodness-of-fit is the number of categories minus 1: dfx2=k-1. Here, k is the symbol for the number of categories. 15.20 For each of the following, identify the independent variable(s), dependent variable(s), and the level of measurement (nominal, ordinal, scale). a. The number of loads of laundry washed per month was tracked for women and men living in college dorms. b. A researcher interested in people’s need to maintain social image collected data on the number of miles on someone’s car and his/her rank for “need for approval” out of the 1 83 people studied. c. A professor of social science was interested in whether involvement in campus life is significantly impacted by whether a student lives on or off campus. Thirty-seven students living on campus and 37 students living off campus were asked whether they were an active member of a club. 1 5.22 Use this calculation table for the chi-square test for goodness-of-fit to complete this exercise. CategoryObserved (O)Expected (E)O-E(O-E)2(O-E)2 ...