The following are the hypotheses for a test of the claim that college graduation statue and cola preference are independent.
$H _ { 0 }$ : College graduation status and cola preference are independent.
$H _ { 1 }$ : College graduation status and cola preference are dependent.
If the test statistic: $\chi ^ { 2 } = 0.579$ and the critical value is $\chi ^ { 2 } = 5.991$, what is your conclusion about the null hypothesis and about the claim?

A) Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that college graduation status and cola preference are independent.
B) Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that college graduation status and cola preference are independent.
C) Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that college graduation status and cola preference are independent.
D) Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that college graduation status and cola preference are independent.

Question

The following are the hypotheses for a test of the claim that college graduation statue and cola preference are independent.
$H _ { 0 }$ : College graduation status and cola preference are independent.
$H _ { 1 }$ : College graduation status and cola preference are dependent.
If the test statistic: $\chi ^ { 2 } = 0.579$ and the critical value is $\chi ^ { 2 } = 5.991$, what is your conclusion about the null hypothesis and about the claim?

A) Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that college graduation status and cola preference are independent.
B) Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that college graduation status and cola preference are independent.
C) Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that college graduation status and cola preference are independent.
D) Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that college graduation status and cola preference are independent.

Quizplus · Accepted Answer

Since the test statistic ($\chi ^ { 2 } = 0.579$) is less than the critical value ($\chi ^ { 2 } = 5.991$), we fail to reject the null hypothesis. This means that there is not sufficient evidence to warrant rejection of the claim that college graduation status and cola preference are independent.

The Following Are the Hypotheses for a Test of the Claim