Suppose that you had information about attitudes towards health care reform amon

Question

Suppose that you had information about attitudes towards health care reform among registered voters. Specifically, suppose that p(pro-reform) among all registered voters =.46, p(anti-reform) =.42, and p(undecided) =.12. Further, let's say that.52 of all registered voters are men and.48 are women. This information is summarized in the table below. a. If gender and attitude towards health care reform are assumed to be independent, what proportion of people would you expect to be (men and pro-reform)? (men and anti)? (men and undecided)? (women and pro)? (women and anti)? (women and undecided)? (b) Suppose that the proportion of the population of registered voters who are women and pro-reform is actually.30. What would that tell you about the assumption that gender and attitude towards health care reform.

Explanation / Answer

(a)

Since gender and attitude towards health are independet events so the required probabailities are as follows:

P(pro-reform and men) = P(pro-reform)*P(men)

P(anti-reform and men) = P(anti-reform)*P(men)

and so on...

Following is the completed table:

(b)

P(women and pro-reform) = 0.30

Since in this case P(women and pro-reform) is not equal to P(women)P(Pro-reform) so gender and attitude towards heatlh care are not independent.

Pro-reform Anti-reform Undecided Total Men 0.46*0.52=0.2392 0.42*0.52=0.2184 0.12*0.52=0.0624 0.52 Women 0.46*0.48=0.2208 0.42*0.48=0.2016 0.12*0.48=0.0576 0.48 Total 0.46 0.42 0.12 1

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