Sam Hill,Director of Media Research,is analyzing subscribers to the TravelWorld magazine.He wonders whether subscriptions are influenced by the head of household's highest degree earned.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 TravelWorld magazine.He wonders whether subscriptions are influenced by the head of household's highest degree earned.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 head of household's highest degree earned is associated with subscriptions to the TravelWorld magazine, we need to conduct a chi-square test of independence. Based on the contingency table provided, the expected values for each cell was calculated and compared to the observed values using the formula for chi-square. The calculated chi-square value was 24.56, and the degrees of freedom were 6 (df = (r-1)*(c-1) = (3-1)*(2-1) = 2). Using F1F1F1S1F1F1F10 = .05, the critical value for chi-square with 2 degrees of freedom is 5.99. Since the calculated chi-square value of 24.56 is greater than the critical value of 5.99, we reject the null hypothesis and conclude that the two variables are not independent. Therefore, the appropriate decision is C: reject the null hypothesis and conclude the two variables are not independent.

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

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