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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.  Category 1234 Frequency 53353042\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. H0:p1=p2=p3=p4H _ { 0 } : p _ { 1 } = p _ { 2 } = p _ { 3 } = p _ { 4 } . H1:H _ { 1 } : At least two proportions differ from their specified values.

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