Consider a Multinomial Experiment Involving N = 200 Trials and K

question 24

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:

Object Permanence

The understanding that objects continue to exist even when they cannot be seen, heard, or otherwise sensed.

Conserve

To protect something, especially natural resources, from waste, loss, or damage.

Accommodate Schemas

The process by which individuals adjust their mental frameworks to include new experiences or information.

Conservation of Number

A cognitive ability in child development in which the child understands that changing the arrangement of objects does not change the number of objects.