# Exercise 1

In the 2012 CCES (Cooperative Congressional Election Study), individuals were asked what percent of a budget deficit should be made up of spending cuts (0-100%). For those with children under 18, the mean value was 59.44% with a standard deviation of 25.763%. For those without children, the mean value was 58.04% with a standard deviation of 25.80%. The weighted sample sizes were 10093 and 30492, respectively. Using a t-test, can we confidently reject the possibility that, in the population from which the sample was drawn, that the true difference is 0%, i.e., the means for each group are the same? Why or why not?

# Exercise 2

Refer back to #1. This time, we are only sampling individuals from the state of Utah. The means for each group are 64% and 60.55%, respectively. The standard deviations are 20.939 and 23.825, and the weighted sample sizes are 169 and 264. Using a t-test, can we confidently reject the possibility that, in the population from which the sample was drawn, that the true difference is 0%, i.e., the means for each group are the same? Why or why not?

# Exercise 3

Using , use STATA to calculate an inferential statistic to determine if group 2 differs from group 1.

# Exercise 4

A random sample of 1022 Italians age 15 and above is taken as part of a 2008 Eurobarometer. 51% percent state that their country has benefited from their country’s membership in the European Union (49% do not). Using a 95% confidence interval test, can we confidently reject the possibility that the true percentage who feel benefited in the population is 50%? What about 60%?

# Exercise 5

The following table gives the breakdown, by gender, of feelings toward immigration for a random sample of residents of Spain.

 Male Female Total Beneficial 324 334 658 Don’t Know 59 76 135 Not Beneficial 124 116 240 Total 507 526 1033