1. A sociologist is interested in the voting rates of males and females. Two hundred males...

1. A sociologist is interested in the voting rates of males and females. Two hundred males and two hundred females are randomly sampled. Of these, seventy percent of males and sixty percent of females voted in the last election.

a. Construct a 95% confidence interval around the difference in the proportion of men and women in the population who voted in the last election.

b. Interpret this interval.

c.

Test the null hypothesis that, in the population, there is no difference in the proportion of men and women who voted in the last election. Use a significance level of .05.

d. What can you conclude about the relationship between the two variables in this example? (That is, is the relationship statistically significant?).

Expert Solution

Let denote the proportions of men and women in the population who voted in the last election.

1.

2. Interpretation :

We are 95% confident that true difference in the proportion of men and women in the population who voted in the last election will lie between the interval (0.007, .193)

3.

4. The difference between two population proportions is statistically signiifcant.

orchestra answered 2 years ago

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