CitySearch.com reports that 55% of its users are in the 18-to-30 age demographic, 35% are in the 31-to-45 demographic, and the remaining 10% are in the 46-and-older demographic.In a recent survey of 200 randomly selected CitySearch.com users, 102 users were in the 18-to-30 age demographic, 84 were in the 31-to-45 demographic, and the rest were in the 46-and-older demographic You conduct a chi-square test to determine whether this sample result is enough to reject a null hypothesis that the age group distribution of CitySearch.com users is as the website describes.If the significance level is set at .05, what is the critical chi-square value for the test?
A)9.210
B)10.597
C)4.605
D)5.991

Question

Quizplus · Accepted Answer

The chi-square test for this scenario has 2 degrees of freedom (df = number of categories - 1 = 3 - 1 = 2). At a significance level of .05 and with 2 degrees of freedom, the critical chi-square value is 5.991.