SOLUTION: How do I solve this equation? Calculate the test statistic: X2= Σ (O−E)2E . The observed frequencies from three categories are: 5, 11, 14. Assume that we want to use 0.10 signi

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Question 1183963: How do I solve this equation? Calculate the test statistic: X2= Σ (O−E)2E . The observed frequencies from three categories are: 5, 11, 14. Assume that we want to use 0.10 significance level to test the claim that the three categories have proportions of 0.20, 0.30, 0.50 respectively.
Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!


X2 = to 3 d.p.

For d.f. = 3 - 1 = 2, p-value = P(X2 > 0.678) = 0.71 > 0.10, hence do NOT reject the null hypothesis that the three categories have proportion 0.20, 0.30, and 0.50 respectively.
***Chi-square probability was taken from https://stattrek.com/online-calculator/chi-square.aspx.

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