A researcher used a sample of n = 60 individuals to determine whether there are any preferences among four brands of pizza.Each individual tastes all four brands and selects his/her favorite.If the data are evaluated with a chi-square test for goodness of fit using α = .05,then how large does the chi-square statistic need to be to reject the null hypothesis?
A)greater than 7.81
B)less than 7.81
C)less than 5.99
D)between 5.99 and 7.81

Question

A researcher used a sample of n = 60 individuals to determine whether there are any preferences among four brands of pizza.Each individual tastes all four brands and selects his/her favorite.If the data are evaluated with a chi-square test for goodness of fit using α = .05,then how large does the chi-square statistic need to be to reject the null hypothesis?​
A)​greater than 7.81
B)​less than 7.81
C)​less than 5.99
D)between 5.99 and 7.81​

Quizplus · Accepted Answer

With four categories (brands of pizza) and using a chi-square test for goodness of fit, the degrees of freedom (df) are calculated as the number of categories minus one, which is 4 - 1 = 3. At an alpha level of .05, the critical value for df = 3 is 7.81. Therefore, to reject the null hypothesis, the chi-square statistic needs to be greater than 7.81.

A Researcher Used a Sample of N = 60 Individuals