Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 63

Critical Thinking Suppose you took random samples from three distinct age groups. Through a survey, you determined how many respondents from each age group preferred to get news from TV, newspaper, the Internet, or another source (respondents could select only one mode). What type of test would be appropriate to determine if there is sufficient statistical evidence to claim that the proportions of each age group preferring the different modes of obtaining news are not the same Select from tests of independence, homogeneity, and goodness-of-fit.
Before you solve Problems 4-8, first classify the problem as one of the following:
Chi-square test of independence or homogeneity
Chi-square goodness-of-fit
Chi-square for testing 2 or
Then, in each of the problems when a test is to be performed, do the following:
(i) Give the value of the level of significance. State the null and alternate hypotheses.
(ii) Find the sample test statistic.
(iii) Find or estimate the P -value of the sample test statistic.
(iv) Conclude the test.
(v) interpret the conclusion in the context of the application.