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Perform the indicated goodness-of-fit test. Among the four northwestern states, Washington has 51% of the total population, Oregon has 30%, Idaho has 11%, and Montana has 8%. A market researcher selects a sample of 1000 subjects, with 450 in Washington, 340 in Oregon, 150 in Idaho, and 60 in Montana. At the 0.05 significance level, test the claim that the sample of 1000 subjects has a distribution that agrees with the distribution of state populations. State the null and alternative hypothesis that would be used to conduct this test of hypothesis. O Ho: P1 = P2 = P3 = P4 H1: At least one proportion differs sig from the others. O Ho: p1 = 0.51, p2 = 0.30, p3 = 0.11, p4 = 0.08 H1: At least one proportion differs sig from the distribution of state populations. O Ho: p1 = P2 = P3 = P4 H1: p1 = 0.51, p2 = 0.30, p3 = 0.11, p4 = 0.08 . O Ho: P1 = 0.51, P2 = 0.30, p3 = 0.11, p4 = 0.05. H1: All of the proportions are different from the distribution of state populations