A multinomial experiment with k = 4 cells and n = 191 produced the data shown in
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A multinomial experiment with k = 4 cells and n = 191 produced the data shown in the following table.
Cell 1 2 3 4 ni 51 47 56 37
a. Do these data provide sufficient evidence to conclude that the multinomial probabilities differ? Test, using a = .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 2.
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