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A multinomial experiment with k=5 cells and n=30 produced the data shown in the following table. Cell 1 2 3 4 5 8 5 6

A multinomial experiment with k=5 cells and n=30 produced the data shown in the following table.

Cell

1 2 3 4 5

8 5 6 7 4

a. Is there sufficient evidence to conclude that the multinomial probabilities differ? Test using = 0.10. (5)

b. Find a 90% confidence interval for the multinomial probability association with cell 1. Interpret the result.

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