Chapter 13.2, Problem 25E

In each of Exercises 13.24-13.3, apply the chi-square goodness-of-fit test, using either the critical-value approach or the P-value approach, to perform the required hypothesis test.

13 25 Freshmen Politics. The Higher Education Research Institute of the University of California, Los Angeles, publishes information on characteristics of incoming college freshmen in The American Freshman. In 2000, 27.7% of incoming freshmen characterized their political views as liberal, 51.9% as moderate, and 20.4% as conservative. For this year, a random sample of 500 incoming college freshmen yielded the following frequency distribution for political views.

Political view	Frequency
Liberal Moderate Conservative	147 237 116

1. a. Identify the population and variable under consideration here.
2. b. At the 5% significance level, do the data provide sufficient evidence to conclude that this year’s distribution of political views for incoming college freshmen has changed from the 2000 distribution?
3. c. Repeal part (b), using a significance level of 10%.