Subiect 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=0.10, test the hypothesis that the variables are independent. Complete parts (a) through (d). Location Reading Math Science Urban Suburban 62 60 89 (a) Identify the claim and state the null and alternative hypotheses. Ha: Skill level in a subject is (1). location H Skill level in a subject is (2) location The (3) is the claim (b) Determine the degrees of freedom, find the critical value, and identify the rejection region. What are the degrees of freedom? df = Find the critical value (Round to three decimal places as needed.) Choose the correct rejection region below. OB. 7>r OD. sr (c) Calculate the test statistic. If comvenient, 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. Reject the nul 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 not enough evidence to reject the claim that skill level in a subject is independent of location. O B. Fail to reject the nul hypothesis. There is 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. (1) O dependent on (2) O dependent on (3) O alternative hypothesis O ndependent of O hndependent of O null hypothesis

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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2.
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 = 0.10, test the hypothesis that the
variables are independent. Complete parts (a) through (d).
Subject
Location Reading Math Science
Urban
Suburban
48
42
39
62
60
69
(a) Identify the claim and state the null and alternative hypotheses.
Ho: Skill level in a subject is (1)
location.
H3: Skill level in a subject is (2)
location.
The (3)
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. =
Find the critical value
(Round to three decimal places as needed.)
Choose the correct rejection region below.
O A. ?< xổ
O B. ?> xổ
OC. 2x3
O D. ?sx3
(c) Calculate the test statistic. If convenient, use technology.
y2 =
(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. 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. 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.
O C. 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.
(3) O alternative hypothesis
(1) O dependent on
O independent of
(2) O dependent on
O independent of
O null hypothesis
Transcribed Image Text:2. 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 = 0.10, test the hypothesis that the variables are independent. Complete parts (a) through (d). Subject Location Reading Math Science Urban Suburban 48 42 39 62 60 69 (a) Identify the claim and state the null and alternative hypotheses. Ho: Skill level in a subject is (1) location. H3: Skill level in a subject is (2) location. The (3) 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. = Find the critical value (Round to three decimal places as needed.) Choose the correct rejection region below. O A. ?< xổ O B. ?> xổ OC. 2x3 O D. ?sx3 (c) Calculate the test statistic. If convenient, use technology. y2 = (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. 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. 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. O C. 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. (3) O alternative hypothesis (1) O dependent on O independent of (2) O dependent on O independent of O null hypothesis
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