Is achieving a basic skill levei 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 shown in the contingency table At a 0.05, test the hypothesis that the variables are independent. Complete parts Location Reading Math Science (a) through (d). Urban Suburban 63 65 61 (a) identify the claim and state the nul and aternative hypotheses location location H Sl level in a subject is H, Sl level in a subject is The is the claim (b) Determine the degrees of treedom, find the critical value, and identify the rejection region. What are the degrees of freedom? Find the critical value. (Round to three decimal places as needed.) Choose the correct rejection region below. OA fay OB eri OD sr (C) Calculate the test statistic. If convenient, use technology (Round to three decimal places as needed.) (4) Decide to reject or fail to reject the nul hypothesis. Then interpret the decision in the context of the original claim Choose the correct conclusion below OA. Fail to reject the nul hypothesis. There is not enough evidence to reject the claim that skil level in a subject is independent of location OC. Fail to reject the nul hypothesis. There is enough evidence to reject the claim that skil level in a subject is independent of location OB Reject the null hypothesis. There is not enough evidence to reject the claim that skil 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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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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 shown in the contingency table. At a = 0.05, test the hypothesis that the variables are independent. Complete parts
(a) through (d).
Location Reading Math Science
Urban
Suburban
46
46
40
63
65
61
(a) Identify the claim and state the null and alternative hypotheses.
H: Skill level in a subject is
location.
H.: Skill level in a subject is
V location.
The
v is the claim.
(b) Determine the degrees of freedom, find the critical value, and identify the rejection region.
What are the degrees of freedom?
d.f. =O
Find the critical value.
(Round to three decimal places as needed.)
Choose the correct rejection region below.
O A. zx3
O B. <xổ
OC. >xổ
O D. sx3
(c) Calculate the test statistic. If convenient, use technology.
(Round to three decimal places as needed.)
(d) 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 not enough evidence to reject the claim that skill level in a subject is independent of location.
O B. Reject the null hypothesis. There is not 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 enough evidence to reject the claim that skill level in a subject is independent of location.
O 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 shown in the contingency table. At a = 0.05, test the hypothesis that the variables are independent. Complete parts (a) through (d). Location Reading Math Science Urban Suburban 46 46 40 63 65 61 (a) Identify the claim and state the null and alternative hypotheses. H: Skill level in a subject is location. H.: Skill level in a subject is V location. The v is the claim. (b) Determine the degrees of freedom, find the critical value, and identify the rejection region. What are the degrees of freedom? d.f. =O Find the critical value. (Round to three decimal places as needed.) Choose the correct rejection region below. O A. zx3 O B. <xổ OC. >xổ O D. sx3 (c) Calculate the test statistic. If convenient, use technology. (Round to three decimal places as needed.) (d) 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 not enough evidence to reject the claim that skill level in a subject is independent of location. O B. Reject the null hypothesis. There is not 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 enough evidence to reject the claim that skill level in a subject is independent of location. O 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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