Sam Hill,Director of Media Research,is analyzing subscribers to the Life West of the Rockies magazine.He wonders whether subscriptions are influenced by the head of household's employment classification.His staff prepared the following contingency table from a random sample of 300 households:
Using $\alpha$ = .05,the appropriate decision is ___.
A)reject the null hypothesis and conclude the two variables are independent
B)do not reject the null hypothesis and conclude the two variables are independent
C)reject the null hypothesis and conclude the two variables are not independent
D)do not reject the null hypothesis and conclude the two variables are not independent
E)do nothing

Question

Sam Hill,Director of Media Research,is analyzing subscribers to the Life West of the Rockies magazine.He wonders whether subscriptions are influenced by the head of household's employment classification.His staff prepared the following contingency table from a random sample of 300 households: 
 Using $\alpha$ = .05,the appropriate decision is ___.
A)reject the null hypothesis and conclude the two variables are independent 
B)do not reject the null hypothesis and conclude the two variables are independent 
C)reject the null hypothesis and conclude the two variables are not independent 
D)do not reject the null hypothesis and conclude the two variables are not independent 
E)do nothing

Quizplus · Accepted Answer

To determine if the two variables, employment classification and subscription to the magazine, are independent, we need to conduct a chi-square test of independence. Using the contingency table provided, we obtain a chi-square test statistic of 17.54 and a p-value of 0.008. Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that the two variables are not independent. Therefore, choice C is the best answer.

Sam Hill,Director of Media Research,is Analyzing Subscribers to the Life α\alphaα

Sam Hill,Director of Media Research,is Analyzing Subscribers to the Life $\alpha$