A researcher wishes to test whether the proportion of college students who smoke is the same in four different colleges. She randomly selects 100 students from each college and records the number that smoke. The results are shown below.

College A

College B

College C

College D

Smoke

17

26

11

34

Don't smoke

83

74

89

66

Use a 0.01 significance level to test the claim that the proportion of students smoking is the

same at all four colleges if the test statistic: 2 = 17.832.