In 2011, computers of Brand A controlled 25% of the market, Brand B 20%, Brand C 10%, and brand D 45%. In 2015, sample data was collected from many randomly selected stores throughout the country. Of the 1,200 computers sold, 280 were Brand A, 270 were Brand B, 90 were Brand C, and 560 were Brand D. Has the market changed since 2011? Test at the 1% significance level
H0: p1 = .25, p2 = .20, p3 = .10, p4 = .45
H1: At least one proportion differs from their specified values
Rejection region: ?2 > ?20.01,3 = 11.345
Test statistic: ?2 = 13.324
Conclusion: Reject the null hypothesis. Yes, the market has changed since 2011, according to the data.
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