A local college recently made the news by offering foreign language€“speaking dorm rooms to its students. When questioned at another school, 50 students from each class responded as shown. At α = 0.05, is there sufficient evidence to conclude that the proportions of students favoring foreign language€“speaking dorms are not the same for each class?

Perform the following steps.
a. State the hypotheses and identify the claim.
b. Find the critical value.
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.

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Freshmen Sophomores Juniors Seniors Yes (favor) No 10 40 15 35 20 30 28