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You need to use Stata to look up the dataset and its variables. Use Stata Companion Textbook.

(Dataset: NES. Variables: spend8, [pw=nesw].) The NES dataset contains spend8, which records the number of government policy areas where respondents think spending should be increased. Scores range from 0 (the respondent does not want to increase spending on any of the policies) to 8 (the respondent wants to increase spending on all eight policies). The NES, of course, polls a random sample of U.S. adults. In this exercise you will analyze spend8 using the mean and lincom commands. You then will draw inferences about the population mean. (Remember to specify nesw as the probability weight.)

1. The spend8 variable has a sample mean of ______. Make sure you use [pw=nesw] so your results are nationally representative.
2. There is a probability of .95 that spend8’s true population mean falls between a score of ______ at the low end and a score of ______ at the high end.
3. A student researcher hypothesizes that political science majors will score significantly higher on spend8 than the typical adult. The student researcher also hypothesizes that business majors will score significantly lower on spend8 than the average adult. Using the same questions asked in the NES, the researcher obtains scores on spend8 from a group of political science majors and a group of business majors. Here are the results: political science majors’ mean, 4.53; business majors’ mean, 4.05.

Using the confidence interval approach, you can infer that (check one)

• ■ political science majors do not score significantly higher on spend8 than U.S. adults.
• ■ political science majors score significantly higher on spend8 than U.S. adults.

Using the confidence interval approach, you can infer that (check one)

• ■ business majors do not score significantly lower on spend8 than U.S. adults.
• ■ business majors score significantly lower on spend8 than U.S. adults.
4. Run lincom to evaluate the difference between the NES spend8 mean and the business majors’ mean. (For the purposes of this question, treat the business majors’ mean, 4.05, as a hypothesized value for a one-sample test.) The mean difference is equal to ______. The t-ratio of the mean difference is equal to _______. The p-value is equal to _______.
5. Interpret the p-value you recorded in part D. Suppose someone hypothesized that the business majors’ mean was drawn from the same population that produced the NES spend8 mean. Applying the .05 rule, you would (circle one)

reject     not reject

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