Consider a Multinomial Experiment Involving 160 Trials and 4 Categories

question 18

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:

Single-Parent Household

A household in which one parent is responsible for raising child(ren) without the presence of a spouse or partner.

Family Function

The roles and operations within a family unit, including emotional support, socioeconomic provision, and upbringing of children.

Household Members

Individuals who occupy the same residential unit and share living arrangements, which may or may not be related by blood or marriage.

Physical Custody

A legal term referring to with whom a child lives and the arrangements for taking care of the child's daily needs.