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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> = .45, p<sub>2</sub> = .30, p<sub>3</sub> = .25 vs.H<sub>1</sub>: At least one proportion differs from their specified values.
Use the 5% significance level to test the hypotheses H0: p1 = .45, p2 = .30, p3 = .25 vs.H1: At least one proportion differs from their specified values.

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Definitions:

Warm-hearted

Having or showing kindness, empathy, and genuine care for others, characterized by a compassionate nature.

Autocratic Leaders

Leaders who use a style based on giving orders to followers.

Situational

Pertaining to or dependent upon a particular set of circumstances, context, or conditions, rather than inherent traits or personality factors.

Fiedler

Refers to Fred E. Fiedler, an Austrian-American psychologist who developed the Contingency Model of leadership, emphasizing the importance of both the leader's style and the situational context.

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