Suppose a researcher is conducting a two-way Chi-square test to evaluate the relationship between gender and preference among 4 different designs for a new automobile. Each participant in a sample of 40 men and 40 women selects a favorite design from the 4 choices. If the researcher obtains a calculated value of Chi-square of 9.68, what is the appropriate statistical decision for the test? A. Reject the null hypothesis at the .05 level of significance but fail to reject the null hypothesis at the .01 level of significance B. Fail to reject the null hypothesis at the .05 level of significance and at the .01 level of significance Reject the null hypothesis at the .05 level of significance and at the .01 level of significance D. Impossible to answer without additional information C.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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17. Suppose a researcher is conducting a two-way Chi-square test to evaluate
the relationship between gender and preference among 4 different designs
for a new automobile. Each participant in a sample of 40 men and 40
women selects a favorite design from the 4 choices. If the researcher
obtains a calculated value of Chi-square of 9.68, what is the appropriate
statistical decision for the test?
A. Reject the null hypothesis at the .05 level of significance but fail to
reject the null hypothesis at the .01 level of significance
Fail to reject the null hypothesis at the .05 level of significance and at
the .01 level of significance
Reject the null hypothesis at the .05 level of significance and at the .01
level of significance
Impossible to answer without additional information
В.
C.
D.
Transcribed Image Text:17. Suppose a researcher is conducting a two-way Chi-square test to evaluate the relationship between gender and preference among 4 different designs for a new automobile. Each participant in a sample of 40 men and 40 women selects a favorite design from the 4 choices. If the researcher obtains a calculated value of Chi-square of 9.68, what is the appropriate statistical decision for the test? A. Reject the null hypothesis at the .05 level of significance but fail to reject the null hypothesis at the .01 level of significance Fail to reject the null hypothesis at the .05 level of significance and at the .01 level of significance Reject the null hypothesis at the .05 level of significance and at the .01 level of significance Impossible to answer without additional information В. C. D.
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