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2 weeks ago
Voter registration A random sample of 337 college students was asked whether or not they were registered to vote. We wonder if there is an association between a student's sex and whether the student is registered to vote. The data are provided in the table below (expected counts are in parentheses). (All the conditions are satisfied - don't worry about checking them.)

The calculated statistic is χ2 = 0.249.

a. Write appropriate hypotheses.
b. Suppose the expected values had not been given. Show exactly how to calculate the expected number of men who are registered to vote.
c. Show how to calculate the component of χ2 for the first cell.
d. How many degrees of freedom are there?
e. Find the P-value for this test.
f. State your complete conclusion in context.
Textbook 

Stats: Modeling the World


Edition: 4th
Authors:
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wrote...
Posts: 257
2 weeks ago
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a. H0: Voter registration is independent of a student's sex.
    HA: There is an association between voter registration and a student's sex.
b.  137 = 102
c.
d. df = (2 - 1)(2 - 1) = 1
e. 0.618
f. Since the P-value of 0.618 is high, we fail to reject the null hypothesis. There is no evidence of an association between a student's sex and whether the student is registered to vote.
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