Consider a Multinomial Experiment Involving 160 Trials and 4 Categories

question 69

Essay

Consider a multinomial experiment involving 160 trials and 4 categories (cells). The observed frequencies resulting from the experiment are shown in the following table. $$\begin{array} { | l | c | c | c | c | } \hline \text { Category } & 1 & 2 & 3 & 4 \\\hline \text { Frequency } & 53 & 35 & 30 & 42 \\\hline\end{array}$$ Use the 10% significance level to test the hypotheses. $H _ { 0 } : p _ { 1 } = p _ { 2 } = p _ { 3 } = p _ { 4 }$ . $H _ { 1 } :$ At least two proportions differ from their specified values.

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Definitions:

Inductive

A reasoning or argumentation method that draws general conclusions from specific observations or instances.

Passive Voice

Passive voice is a grammatical structure where the subject of the sentence is acted upon, emphasizing the action rather than the doer.

Active Voice

A grammatical structure in which the subject of a sentence performs the action expressed by the verb, making the writing clear and direct.

Emphasis Technique

Strategies used in writing or speech to highlight important information or to make certain elements stand out.