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## Statistics

Multiple choice based on the chi square test.

Recently, students in a marketing research class were interested in the driving behaviour 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 Males 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?
1. Gender and speeding are correlate
2. Gender and speeding are not relate
3. Gender and speeding are relate
4. No conclusion is possible.

Statistics and Probability, Statistics

• Category:- Statistics and Probability
• Reference No.:- M922011

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