Subject 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 is Location Reading Math Science shown in the contingency table. At a = 0.05, test the hypothesis that the variables are independent. Complete parts (a) through (d). Urban 47 40 45 Suburban 68 69 62 (a) Identify the claim and state the null and alternative hypotheses. Ho: Skill level in a subject is H₂: Skill level in a subject is The is the claim. location. location. (b) Calculate the test statistic. If convenient, use technology. x²-0 = (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. OA. Fail to reject the null hypothesis. There is enough evidence to reject the claim that skill level in a subject is independent of location. OC. 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. OB. Reject the null hypothesis. There is not enough evidence to reject the claim that skill level in a subject is independent of location. OD. Reject the null hypothesis. There is enough evidence to reject the claim that skill level in a subject is independent of location.

MATLAB: An Introduction with Applications
6th Edition
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Question 34

First two quesiton option: dependent and independent

alternative or null hypothesis

Subject
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 is Location Reading Math Science
shown in the contingency table. At x = 0.05, test the hypothesis that the variables are independent. Complete parts (a) through (d).
Urban 47 40 45
Suburban 68 69 62
(a) Identify the claim and state the null and alternative hypotheses.
Ho: Skill level in a subject is
Ha: Skill level in a subject is
The
is the claim.
▼ location.
▼ location.
(b) Calculate the test statistic. If convenient, use technology.
x²=0
(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.
O A. Fail to reject the null hypothesis. There is enough evidence to reject the claim that skill level in a subject is
independent of location.
OC. 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 not enough evidence to reject the claim that skill level in a subject is
independent of location.
D. Reject the null hypothesis. There is enough evidence to reject the claim that skill level in a subject is independent
of location.
Transcribed Image Text:Subject 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 is Location Reading Math Science shown in the contingency table. At x = 0.05, test the hypothesis that the variables are independent. Complete parts (a) through (d). Urban 47 40 45 Suburban 68 69 62 (a) Identify the claim and state the null and alternative hypotheses. Ho: Skill level in a subject is Ha: Skill level in a subject is The is the claim. ▼ location. ▼ location. (b) Calculate the test statistic. If convenient, use technology. x²=0 (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. O A. Fail to reject the null hypothesis. There is enough evidence to reject the claim that skill level in a subject is independent of location. OC. 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 not enough evidence to reject the claim that skill level in a subject is independent of location. D. Reject the null hypothesis. There is enough evidence to reject the claim that skill level in a subject is independent of location.
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