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Chi square test relationship between gender and education

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Recently, students in a marketing research class were interested in the driving behavior of students. Specifically, the marketing students were interested if exceeding the speed limit was related to gender. They collected the following responses from 100 randomly selected students:

Speeds Does not speed
Male 40 25
Females 10 25

1. The appropriate test to analyze the relationship between gender and education is:
A. regression analysis
B. Analysis of variance
C. Contingency table analysis
D. Goodness-of-fit

2. The null hypothesis for the analysis is:

A. There is no relationship between gender and speeding.
B. The correlation between gender and speeding is zero.
C. As gender increases, speeding increases.
D. The mean of gender equals the mean of speeding.

3. The degrees of freedom for the analysis is:

A. 1
B. 2
C. 3
D. 4

4. Using 0.05 as the significance level, what is the critical value for the test statistic?

A. 9.488
B. 5.991
C. 7.815
D. 3.841

5. What is the value of the test statistic?

A. 100
B. 9.89
C. 50
D. 4.94

6. Based on the analysis, what can be concluded?

A. Gender and speeding are correlated.
B. Gender and speeding are not related.
C. Gender and speeding are related.
D. No conclusion is possible.

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Solution Summary

Step by step method for testing the hypothesis under 5 step approach is discussed here. Excel template for each problem is also included. This template can be used to obtain the answers of similar problems.

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