A researcher is using a chi-square test to determine whether people have any preferences among three brands of televisions.The null hypothesis for this test would state that ______.
A)there are real preferences in the population
B)one-third of the sample prefers each brand
C)one-third of the population prefers each brand
D)in the population, one brand is preferred over the other two

Question

Quizplus · Accepted Answer

The null hypothesis for a chi-square test of independence states that there is no relationship between two categorical variables. In this case, the two variables are the brand of television and people's preferences. The null hypothesis would state that there is no difference in the proportion of people in the population who prefer each brand, which would be option C. Options A and D are not appropriate for this type of hypothesis. Option B is not applicable because it assumes equal preference for each brand, which may not be true.

A Researcher Is Using a Chi-Square Test to Determine Whether