2. Consider a multinomial experiment w ith n = 400 and k = 3.

The null hypothesis is H0: p 1 = 0.60, p2 = 0.25, and p 3 = 0.15.

The observed frequencies resulting from the experiment are:

Category 1 2 3 Frequency 250 94 56

a. Define the alternative hypothesis.

b. Calculate the value o f the test statistic and approximate the p -value for the test.

c. At the 5% significance level, w hat is the conclusion to the hypothesis test?