A multinomial experiment with k = 4 cells and n = 205 produced the data shown in the following table:
| Cell | |||
| 1 | 2 | 3 | 4 |
ni | 43 | 56 | 59 | 47 |
a. Is there 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.
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