Question: Consider a multinomial experiment with n = 400 and k = 3. The null hypothesis is H0: p1 = 0.60, p2 = 0.25, and p3 = 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 of the test statistic and approximate the p -value for the test.
c. At the 5% significance level, what is the conclusion to the hypothesis test?