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 H₀: p₁ = 0.45, p₂ = 0.30, p₃ = 0.25 vs. H₁: At least two proportions differ from their specified values.

Question

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 H₀: p₁ = 0.45, p₂ = 0.30, p₃ = 0.25 vs. H₁: At least two proportions differ from their specified values.

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The Answer of 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 H₀: p₁ = 0.45, p₂ = 0.30, p₃ = 0.25 vs. H₁: At least two proportions differ from their specified values.

Consider a Multinomial Experiment Involving 100 Trials and 3 Categories