Consider the following to answer the question(s) below:
We want to test whether type of car owned (domestic or foreign) is independent of gender. The following are the results of a random sample of 990 car owners.

-At α = 0.05,
A) we fail to reject the null hypothesis. There is no evidence that type of car owned (domestic or foreign) is dependent on gender.
B) we reject the null hypothesis and can conclude that there is an association between gender and the type of car owned (domestic or foreign).
C) as P-value = 0.0676 is fairly high, we support the alternative hypothesis.
D) we fail to reject the null alternative hypothesis. There is strong evidence that the type of car owned (domestic or foreign) is dependent on gender.
E) since χ2 = 3.34

Question

Consider the following to answer the question(s) below:
We want to test whether type of car owned (domestic or foreign) is independent of gender. The following are the results of a random sample of 990 car owners.
 
-At α = 0.05,
A) we fail to reject the null hypothesis. There is no evidence that type of car owned (domestic or foreign) is dependent on gender. 
B) we reject the null hypothesis and can conclude that there is an association between gender and the type of car owned (domestic or foreign). 
C) as P-value = 0.0676 is fairly high, we support the alternative hypothesis. 
D) we fail to reject the null alternative hypothesis. There is strong evidence that the type of car owned (domestic or foreign) is dependent on gender. 
E) since χ2 = 3.34 < χcr2 = 3.841, we can conclude that gender and the type of car owned (domestic or foreign) are unrelated.

Quizplus · Accepted Answer

The null hypothesis states that the type of car owned and gender are independent, while the alternative hypothesis states that there is a relationship between them. We use a chi-square test to determine if the observed frequencies are significantly different from the expected frequencies, assuming the null hypothesis is true. In this case, the calculated chi-square value of 3.34 is less than the critical value of 3.841, and the P-value is 0.0676, which is greater than the significance level of 0.05. Therefore, we fail to reject the null hypothesis, and there is no significant evidence to suggest that the type of car owned is dependent on gender.

Consider the Following to Answer the Question(s) Below