Question

You want to study the relationship between province of residence and attitudes regarding gun control legislation....

You want to study the relationship between province of residence and attitudes regarding gun control legislation. A sample of 30 individuals from Quebec and 40 individuals from British Columbia is selected. The ´ province each person lives in and their opinion (support, neutral, do not support) about a recent piece of gun control legislation is recorded. Which statement below describes the most effective way to test the relationship between attitudes about gun control legislation and province of residence?

(a) Conduct a t-test with 68 degrees of freedom, testing whether the average opinion of residents of Quebec is ´ different from the average opinion of residents of British Columbia.

(b) Conduct a χ 2 test with 2 degrees of freedom, testing whether opinions about gun legislation are independent from province of resident.

(c) Conduct a t-test with 68 degrees of freedom, testing whether there is significant correlation between the ’province of residence’ and ’opinion about gun control’.

Math   Statistics-And-Probability   
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Answer #1

Correct option:

(b) Conduct a test with 2 degrees of freedom, testing whether opinions about gun legislation are independent from province of resident.

Explanation:

For applying t test, the Independent Variable should be Nominal Scale of measurement. The Dependent Variable should be Ratio or Interval Scale of measurement. Here the Dependent Variable attitudes regarding gun control legislation. is not Ratio or Interval Scale of measurement. So, t test is not applicable.

For applying test of independence , both the Independent Variable and Dependent Variable should be Nominal Scale of measurement. Here the Independent Variable province of resident.. is Nominal Scale of measurement. The Dependent Variable attitudes regarding gun control legislation. is Nominal Scale of measurement.

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