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1. (a) Construct a Pearson’s χ 2 test for H0 : (X1, X2, X3, X4) has...

1. (a) Construct a Pearson’s χ 2 test for H0 : (X1, X2, X3, X4) has multinomial distribution with parameters (θ1, 3θ1, θ2, 1 − 4θ1 − θ2) against HA : (X1, X2, X3, X4) has some other multinomial distribution, at the significance level α = 0.05. (b) Apply the test in (a) to the data X = (26, 52, 34, 18

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