A Multinomial Experiment with K = 4 Cells and N $p _ { 1 } = p _ { 2 } = p _ { 3 } = p _ { 4 } = .25$

question 32

Multiple Choice

A multinomial experiment with k = 4 cells and n = 400 produced the data shown in the following table.


Previous studies in this area have shown that $p _ { 1 } = p _ { 2 } = p _ { 3 } = p _ { 4 } = .25$ . Construct a $95 \%$ confidence interval for the multinomial probability associated with cell $2 .$

• A) \(( 0.489,0.586 )\)
• B) \(( 0.496,0.579 )\)
• C) \(( 0.495,0.580 )\)
• D) \(( 0.086,0.149 )\)

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