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Consider a Multinomial Experiment Involving 100 Trials and 3 Categories

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Consider a multinomial experiment involving 100 trials and 3 categories (cells). The observed frequencies resulting from the experiment are shown in the accompanying table.
Consider a multinomial experiment involving 100 trials and 3 categories (cells). The observed frequencies resulting from the experiment are shown in the accompanying table.    Use the 5% significance level to test the hypotheses H<sub>0</sub>: p<sub>1</sub> = 0.45, p<sub>2</sub> = 0.30, p<sub>3</sub> = 0.25 vs. H<sub>1</sub>: At least two proportions differ from their specified values. Use the 5% significance level to test the hypotheses H0: p1 = 0.45, p2 = 0.30, p3 = 0.25 vs. H1: At least two proportions differ from their specified values.


Definitions:

Current Partners

Individuals or entities currently engaged in a business partnership, sharing responsibilities, profits, and losses of the venture.

Bonus

A bonus is an extra payment given to employees beyond their regular salary, often awarded for achieving specific performance targets or as part of the benefits package.

Capital Accounts

Represent the amount of money the owners have invested in a business, plus any profits or minus any losses.

Original Partners

The initial individuals or entities that form a partnership agreement to create and manage a business.

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