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A Multinomial Experiment with K = 4 Cells and N \quad

Question 10

Short Answer

A multinomial experiment with k = 4 cells and n = 400 produced the data shown in the following table. \quad \quad \quad  Cell \text { Cell }
1234ni4720610443\begin{array}{l}\begin{array}{l|rccr} & 1 & 2 & 3 & 4 \\\hline n_{i} & 47 & 206 & 104 & 43\end{array}\end{array}
Previous studies in this area have shown that p1=p2=p3=p4=.25p _ { 1 } = p _ { 2 } = p _ { 3 } = p _ { 4 } = .25 . Construct a 95%95 \% confidence interval for the multinomial probability associated with cell 2.
A) (0.466,0.564)( 0.466,0.564 )
B) (0.474,0.556)( 0.474,0.556 )
C) (0.086,0.149)( 0.086,0.149 )
D) (0.473,0.557)( 0.473,0.557 )

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