A Multinomial Experiment with K = 4 Cells and N $p _ { 1 } = .20 , p _ { 2 } = .20 , p _ { 3 } = .30$

question 45

Essay

A multinomial experiment with k = 4 cells and n = 300 produced the data shown in the
following table.

Do these data provide sufficient evidence to contradict the null hypothesis that $p _ { 1 } = .20 , p _ { 2 } = .20 , p _ { 3 } = .30$ , and $p _ { 4 } = .30$ ? Test using $\alpha = .05$ .

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