Question: Testing for Categories with different Proportions Here are the observed frequencies from four categories: 5, 10, 10, 20. Assume that we want to use a 0.05 significance level to test the claim that the four categories have proportions of 0.20, 0.25, 0.25, and 0.30, respectively.

a. What is the null hypothesis?

b. What are the expected frequencies for the four 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?