Is achieving a basic skill level related to the location of the school? The results of a random sample of students by the location of school and the number of students achieving basic skill levels in three subjects are shown in the contingency table. At Ī± = 0.05, test the hypothesis that the variables are independent. Complete parts (a) through (d):
(a) Identify the claim and state the null and alternative hypotheses:
H0: Skill level in a subject is independent of location.
Ha: Skill level in a subject is dependent on location.
(b) Calculate the test statistic. If convenient, use technology.
- (Round to three decimal places as needed.)
(c) Decide to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.
Choose the correct conclusion below:
- A. Fail to reject the null hypothesis. There is not enough evidence to reject the claim that skill level in a subject is independent of location.
- B. Reject the null hypothesis. There is enough evidence to reject the claim that skill level in a subject is independent of location.
- C. Reject the null hypothesis. There is not enough evidence to reject the claim that skill level in a subject is independent of location.
- D. Fail to reject the null hypothesis. There is enough evidence to reject the claim that skill level in a subject is independent of location.