Consider a Multinomial Experiment Involving N = 200 Trials and K

question 96

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: $$\begin{array} { | l | c | c | c | c | c | } \hline \text { Cell } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Frequency } & 16 & 44 & 56 & 48 & 36 \\\hline\end{array}$$ The null hypothesis to be tested is as follows.
H₀ : p₁ = 0.05, p₂ = 0.25, p₃ = 0.35, p₄ = 0.20, p₅ = 0.15.
Test the hypothesis at the 5% level of significance.

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Definitions:

Sexual Orientation

Describes an individual's pattern of emotional, romantic, or sexual attraction to others, based on their gender.

Nonconformity

The refusal to align with established customs, attitudes, or ideas, often leading to cultural or social change.

Homosexuality

A sexual orientation characterized by a romantic or sexual attraction to people of one's own sex.

Homosexual Behavior

Sexual activity between members of the same sex.