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3. A multinomial experiment with k=5 cells and n=30 produced the data shown in the following table. Cell 3 5 UI N ni 8 6

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3. A multinomial experiment with k=5 cells and n=30 produced the data shown in the following table. Cell 3 5 UI N ni 8 6 4 a. Is there sufficient evidence to conclude that the multinomial probabilities differ? Test using a = 0.10. (5) b. Find a 90% confidence interval for the multinomial probability association with cell 1. Interpret the result.

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