Perform a Homogeneity of Proportions Test to Test Whether the Population

Essay

Perform a homogeneity of proportions test to test whether the population proportions are equal. The hypotheses to be
tested are:
H₀: The proportions are equal
H_a: At least one of the proportions is different from the others.
-A random sample of 100 students from 5 different colleges was randomly selected, and the number who smoke
was recorded. The results are listed below. Perform a homogeneity of proportions test to test the claim that the
proportion of students who smoke is the same in all 5 colleges. Use $$\alpha = 0.01$$ $$\begin{array} { l | c c c c c } & { \text { Colleges } } \\\hline & 1 & 2 & 3 & 4 & 5 \\\text { Smoker } & 18 & 25 & 12 & 33 & 22 \\\text { Nonsmoker } & 82 & 75 & 88 & 67 & 78\end{array}$$