A gasoline distributor wonders whether an individual's income levels influences the grade of gasoline purchased.
Using $\alpha$= .05,the critical chi-square value is ___.
A)15.09
B)5.99
C)9.21
D)16.81
E)23.87

Question

A gasoline distributor wonders whether an individual's income levels influences the grade of gasoline purchased.  
Using $\alpha$= .05,the critical chi-square value is ___.
A)15.09 
B)5.99 
C)9.21 
D)16.81 
E)23.87

Quizplus · Accepted Answer

The critical chi-square value can be found using the chi-square distribution table with (r-1)(c-1) degrees of freedom, where r is the number of rows and c is the number of columns in the contingency table. Since no contingency table or sample size is given in the question, we cannot determine the exact degrees of freedom. However, we can assume that the sample size is reasonably large (since it is a gasoline distributor) and use the approximation that df = (r-1)(c-1) = (2-1)(3-1) = 2. Using this degree of freedom with a significance level of α = 0.05, we can find the critical chi-square value from the table as 5.99. Therefore, the answer is B.

A Gasoline Distributor Wonders Whether an Individual's Income Levels Influences α\alphaα

A Gasoline Distributor Wonders Whether an Individual's Income Levels Influences $\alpha$