A gasoline distributor wonders whether an individual's income levels influences the grade of gasoline purchased. Using $\alpha$ = .05, the appropriate decision is ___.
A)reject the null hypothesis and conclude the two variables are not independent
B)reject the null hypothesis and conclude the two variables are independent
C)do not 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 independent
E)do nothing

Question

A gasoline distributor wonders whether an individual's income levels influences the grade of gasoline purchased.  Using $\alpha$ = .05, the appropriate decision is ___.
A)reject the null hypothesis and conclude the two variables are not independent 
B)reject the null hypothesis and conclude the two variables are independent 
C)do not 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 independent 
E)do nothing

Quizplus · Accepted Answer

Since the appropriate decision using alpha level of .05 is to not reject the null hypothesis, we can conclude that there is not enough evidence to suggest that income levels influence the grade of gasoline purchased. Therefore, we cannot conclude that the two variables are independent, but we also cannot conclude that they are not independent. The only conclusion we can make is that there is not sufficient evidence to reject the null hypothesis.

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

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