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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.

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.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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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