Question: Tom knight is a high school senior, who plans to attend college, but he is concerned about the dropouts rates among the first year college students. The American college testing program provides data showing that 30% of freshman at four year public colleges dropout, where as teh dropout rate of four year private colleges is 26%. Assume that these results are based on observation of 1000 four year public college freshman and 500 four year private college freshman. At the .05 significance level test the claim that four year public and private colleges have the same freshman dropout rate.