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Chi-square Goodness of Fit Test:Political Views for Freshman

Goodness-of-Fit ???

I have been constantly bothered by my younger brother for seemingly trivial matters. A couple of years ago, he was about to send my niece to college, and he was interested in the political views of the freshmen at the college.

Anyway, this was what he found. In 2007, 27.7% of incoming freshmen characterized their political views as liberal, 51.9% as moderate, and 20.4% as conservative.

In 2008, a random sample of 500 incoming freshmen at the same college yielded the following frequency distribution for political views.

Political View Frequency
Liberal 160
Moderate 246
Conservative 94

At the 5% significance level, do the data provide sufficient evidence to conclude that 2008's distribution of political views for incoming freshmen has changed from the 2007 distribution?

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Solution Summary

The solution provides step by step method for the calculation of chi square test of goodness of fit. Formula for the calculation and Interpretations of the results are also included.