Complete by hand. Show all work. 14. Information Gathering and Educational Background An instructor wishes to see if the way people obtain information is independent of their educational background. A survey of 400 high school and college graduates yielded this information. At 0.05, test the claim that the way people obtain information is independent of their educational background. Television Newspapers Other sources High school 159 90 51 College 27 42 31 Solution The test hypothesis is Ho: independent Ha: not independent The test statistic is Chi-square:21.347 degrees of freedom: 2 p-value:0.00002315 Given a=0.05, since the p-value is less than 0.05, we reject Ho. So we can not conclude that the way people obtain information is independent of their educational background..