Question

The following are the hypotheses for a test of the claim that college graduation statue and cola preference are independent. H0: College graduation status and cola preference are independent. H1: College graduation status and cola preference are dependent. If the test statistic: χ2 = 0.579 and the critical value is χ2 = 5.991, what is your conclusion about the null hypothesis and about the claim?

Answer 1

Answer:

$\chi^2 = 0.579$

And the critical value for the significance level used is:

$\chi^2_{crit}= 5.991$

Since the calculated value is less than the critical value we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the College graduation status and cola preference are independent

Step-by-step explanation:

For this case we want to test the following hypothesis:

Null hypothesis: College graduation status and cola preference are independent

Alternative hypothesis: College graduation status and cola preference are dependent

For this case we got a calculated statistic of:

$\chi^2 = 0.579$

And the critical value for the significance level used is:

$\chi^2_{crit}= 5.991$

Since the calculated value is less than the critical value we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the College graduation status and cola preference are independent