Consider a Multinomial Experiment Involving N = 200 Trials and K

question 56

Essay

Consider a multinomial experiment involving n = 200 trials and k = 5 cells. The observed frequencies resulting from the experiment are shown in the following table. $$\begin{array} { | l | c | c | c | c | c | } \hline \text { Cell } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Frequency } & 4 & 11 & 14 & 12 & 9 \\\hline\end{array}$$ The null hypothesis to be tested is as follows. $H_ { 0 } : p _ { 1 } = 0.10$ , $p _ { 2 } = 0.25$ $p _ { 3 } = 0.30$ $p _ { 4 } = 0.20$ $p _ { 5 } = 0.15$ $p _ { 5 } = 0.15$ .

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Definitions:

Conversion Symptoms

Physical symptoms that occur without a physiological basis, often resulting from psychological conflict or stress.

Conversion Disorder

A mental condition in which a person has blindness, paralysis, or other nervous system symptoms that cannot be explained by medical evaluation.

Spontaneous Self-hypnosis

The natural occurrence of hypnotic-like states without formal induction, often triggered by extreme focus or stress.

Malingering

The act of intentionally feigning illness or incapacity in order to avoid work or responsibility or to gain some form of benefit.