1. Consider a multinomial experiment with n = 250 and k = 4. The null hypothesis to be tested is H0: p1 = p 2 = p 3 =

p4 = 0.25.The observed frequencies resulting from the experiment are:

Category 1 2 3 4 Frequency 70 42 72 66

a. Specify the alternative hypothesis.

b. Calculate the value o f the test statistic.

c. What are the critical value and the decision rule at a 5%

significance level?

d. What is the conclusion to the hypothesis test?