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 T.V., newspapers, 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. Since we are interested in proportions, the test for homogeneity is appropriate. Since we are determining if the current distribution fits the previous distribution of responses, the goodness-of-fit test is appropriate. Since we can claim all the variables are independent, the test of independence is appropriate.

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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 T.V., newspapers, 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.   Since we are interested in proportions, the test for homogeneity is appropriate.  Since we are determining if the current distribution fits the previous distribution of responses, the goodness-of-fit test is appropriate.   Since we can claim all the variables are independent, the test of independence is appropriate.

estenutC · Accepted Answer

Step 1  The correct option is identified below:  From the information, given that the samples has been taken from the three distinct age groups that is the news from T.V, newspapers and the Internet.  The type of test would be applicable to test if there is enough statistical evidence in order to claim that the proportions of each of the age group who prefers the different modes of obtaining news is same or not is clearly the chi square test for Homogeneity.  Because, the data consists of more than two populations and the type of the data is categorical in nature. And moreover the chi square test for homogeneity is used only if there are more than two populations to compare.  Correct option: Option 1  Step 2  Reasons for incorrect options:  The options 2 and 3 would be inappropriate because the independence test is applied if we would like to compare the relationship between the two variables and the goodness of fit can be applied only if there is existence of single population with the categorical variable.

Suppose you took random samples from three distinct age groups. Through a survey

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