A researcher used a sample of n = 50 individuals to determine whether they are any preferences between two new designs for a smart phone.If the data produce a chi-square statistic of χ² = 6.00 what decision should the researcher make?
A)There is a significant preference at both α = .05 and α = .01.
B)There is a significant preference at α = .05 but not at α = .01.
C)There is no significant preference at either α = .05 or α = .01.
D)There is no significant preference at α = .05 but there is at α = .01.

Question

Quizplus · Accepted Answer

To make the decision, the researcher needs to determine the p-value associated with the chi-square statistic. Assuming a two-tailed test and 1 degree of freedom (df = number of categories - 1), the p-value is between .025 and .05. Therefore, the researcher can reject the null hypothesis of no difference between designs at α = .05, but cannot reject it at α = .01 (since the p-value is greater than .01). So, the correct answer is B - there is a significant preference at α = .05 but not at α = .01.

A Researcher Used a Sample of N = 50 Individuals