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

Algebra ->  Probability-and-statistics -> 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      Log On


   



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) About Me  (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.