A Multinomial Experiment With $k = 4$ Cells And $n = 400$

question 55

Multiple Choice

A multinomial experiment with $k = 4$ cells and $n = 400$ produced the data shown in the following table.
$\begin{array} { r | r c c r } &\text { Cell }\\& 1 & 2 & 3 & 4 \\\hline n _ { i } & 50 & 213 & 104 & 33\end{array}$

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) (0.491, 0.574)
• B) (0.490, 0.575)
• C) (0.093, 0.157)
• D) (0.484, 0.581)

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Definitions:

Weak Current

A low intensity flow of electric charge, typically used in scientific experiments or medical therapies.

Hypothalamus

A region of the brain below the thalamus that coordinates both the autonomic nervous system and the activity of the pituitary, controlling body temperature, thirst, hunger, and other homeostatic systems.

Autonomic Nervous System

The part of the nervous system that regulates involuntary functions, such as heart rate, digestion, and respiration.

Memory

Cognitive function that allows storing, retaining, and recalling information from past experiences.