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Consider a Multinomial Experiment Involving N = 200 Trials and K

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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:  Cell 12345 Frequency 1644564836\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:

Null Hypothesis

A statistical hypothesis that assumes no significant difference or effect in a particular test, used as a starting point for experimentation.

Alternative Hypothesis

A hypothesis that suggests there is a difference between two or more sets of data, contrasting the null hypothesis.

Average

The numerical value obtained by dividing the sum of all values in a set by the number of values in the set.

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A series of advertisement efforts by a political entity aimed at influencing the decision-making process within a political context.

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