A multinomial experiment with k = 4 cells and n = 205 produced the data shown in the one-way table below.

a. Do these data provide sufficient evidence to conclude that the multinomial probabilities differ? Test using α = .05.
b. What are the Type I and Type II errors associated with the test of part a?
c. Construct a 95% confidence interval for the multinomial probability associated with cell 3.

Transcribed Image Text:

Cell 4 n 43 56 59 47