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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 H 0: p 1 = 0.45, p 2 = 0.30, p 3 = 0.25 vs. H 1: At least two proportions differ from their specified values.


Definitions:

Quantity Demanded

The total amount of a good or service that consumers are willing and able to purchase at a given price level.

Demand P

The desire and ability of consumers to purchase a good or service at a particular price, often represented as a demand curve.

Consumer Surplus

The discrepancy in the total money consumers are willing to invest in a good or service compared to what they really pay.

Market Demand Curve

A graphical representation showing the relationship between the price of a good and the total quantity demanded by all consumers in the market.

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