After a product recall, a company solicits feedback from a random sample of 100 customers regarding their opinion about the company since the recall. Customers were asked, "Do you approve, disapprove, or have no opinion about the company?” The public relations department is concerned that the opinions may be equally distributed across these three options. They decide to carry out a test of significance. What is the name of the appropriate inference procedure?
Answer
A
chi-square test for goodness of fit
B
two-sample z - test for a difference in proportions
C
one-sample t - test for a difference in means
D
two-sample t - test for a difference in means
Explanation
The response is categorical, with three possible categories: approve, disapprove, and no opinion. The department wants to test whether the observed counts in those categories match an expected equal distribution, so the appropriate procedure is a chi-square test for goodness of fit. The proportion and t-tests listed are for comparing numerical measurements or proportions between samples, not for testing this distribution across several categories.
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