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 = 0.01, test the hypothesis that the variables are independent. Complete parts (a) through (d). Location Reading Math Science Urban 48 41 39 Suburban 70 63 64 (a) Identify the claim and state the null and alternative hypotheses. Ho: Skill level in a subject is V location. Ha: Skill level in a subject is V location. The V is the claim. (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. 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 not enough evidence to reject the claim that skill level in a subject is independent of location. O C. Reject the null hypothesis. There is 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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 9E
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Location Reading Math Science
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 = 0.01, test
the hypothesis that the variables are independent. Complete parts (a) through (d).
Urban
48
41
39
Suburban
70
63
64
(a) Identify the claim and state the null and alternative hypotheses.
Ho: Skill level in a subject is
location.
Ha: Skill level in a subject is
location.
The
is the claim.
(b) Calculate the test statistic. If convenient, use technology.
%3D
(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. 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 not enough evidence to reject
the claim that skill level in a subject is independent of location.
C. Reject the null hypothesis. There is enough evidence to reject the claim
that skill level in a subject is independent of location.
O 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.
Transcribed Image Text:Subject Location Reading Math Science 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 = 0.01, test the hypothesis that the variables are independent. Complete parts (a) through (d). Urban 48 41 39 Suburban 70 63 64 (a) Identify the claim and state the null and alternative hypotheses. Ho: Skill level in a subject is location. Ha: Skill level in a subject is location. The is the claim. (b) Calculate the test statistic. If convenient, use technology. %3D (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. 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 not enough evidence to reject the claim that skill level in a subject is independent of location. C. Reject the null hypothesis. There is enough evidence to reject the claim that skill level in a subject is independent of location. O 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.
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