The following table lists the market share of the four firms in a particular industry in 2010 and total sales for each firm in 2011.

a. Specify the competing hypotheses to test whether the market shares in 2011 are consistent with those from 2010.
b. At the 1% significance level, find the critical value.
c. Calculate the value of the test statistic.
d. Do the sample data suggest that the market shares changed from 2010 to2011?

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Market Share in 2010 0.40 0.30 0.20 0.10 Total Sales in 2011 (in billions of $) 200 180 100 70 Firm 4