Test the null hypothesis that all three political poitions are equally represented in the print media. random sample 60 conservative 15 moderate 18 liberal 27 Solution use a goodness-of-fit test since n=60 and we have three categories, the expected counts are each 60/3 = 20 compute the test statistic: (15-20)^2/20 + (18-20)^2/20 +(27- 20)^2/20 = 3.9 degrees of freedom = 3-1 = 2 use chi-square table with df = 2 or calculator to find P-value = 0.14 Because the P-value is reasonably large, we fail to reject the null hypothesis and conclude that there is no evidence that the positions are not equally represented..

1. Test the null hypothesis that all three political poitions are equally represented in the print media.
random sample 60
conservative 15
moderate 18
liberal 27
Solution
use a goodness-of-fit test since n=60 and we have three categories, the expected
counts are each 60/3 = 20 compute the test statistic: (15-20)^2/20 + (18-20)^2/20 +(27-
20)^2/20 = 3.9 degrees of freedom = 3-1 = 2 use chi-square table with df = 2 or calculator to
find P-value = 0.14 Because the P-value is reasonably large, we fail to reject the null hypothesis
and conclude that there is no evidence that the positions are not equally represented.