Assume that we want to use a 0.05 significance level to test the claim that the five categories have proportions of 0.2, 0.2, 0.2, 0.3, and 0.1, respectively.

a. What is the null hypothesis?

b. What are the expected frequencies for the five categories?

c. What is the value of the test statistic?

d. What is the critical value?

e. What do you conclude about the given claim?