A researcher is conducting a chi-square test for independence to evaluate the relationship between gender and preference among three different designs for a new automobile. Each individual in a sample of n = 25 males and n = 25 females selects a favorite design from the three choices. If the researcher obtains a chi-square statistic of χ2 = 6.21, what is the appropriate statistical decision for the test? Select one: a. ​ Reject the null hypothesis with α = .05 but not with α = .01. b. ​ Reject the null hypothesis with either α = .05 or α = .01. c. ​ Fail to reject the null hypothesis with either α = .05 or α = .01. d. ​ Fail to reject the null hypothesis with α = .10.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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A researcher is conducting a chi-square test for independence to evaluate the relationship between gender and preference among three different designs for a new automobile. Each individual in a sample of n = 25 males and n = 25 females selects a favorite design from the three choices. If the researcher obtains a chi-square statistic of χ2 = 6.21, what is the appropriate statistical decision for the test?
Select one:
a.
​ Reject the null hypothesis with α = .05 but not with α = .01.
b.
​ Reject the null hypothesis with either α = .05 or α = .01.
c.
​ Fail to reject the null hypothesis with either α = .05 or α = .01.
d.
​ Fail to reject the null hypothesis with α = .10.
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