Question: A national survey states that 67% of college students are under the age of 25, 21% are between the ages of 25 and 30, 8% are between 30 and 40, and 4% are over 40. A random sample of 250 students at Vanier College in Montreal yielded the following data:

a. State the null and alternative hypotheses to test whether the distribution of students’ ages at Vanier College agrees with the national survey.

b. Compute the value of the test statistic.

c. Set up the appropriate rejection region for \(\alpha \) = 0.05.

d. is the appropriate conclusion?