1. The table below lists the market share in 2010 of the four firms that manufacture a particular product. A marketing analyst wonders whether the market shares have changed since 2010. He surveys 200 customers. The last column of the table shows the number of customers who recently purchased the product at each firm.
Firm Market share in 2010 No. of recent customers
1 0.4 70
2 0.32 60
3 0.24 54
4 0.04 16
a. Specify the competing hypotheses to test whether the market shares have changed since 2010.
b. Calculate the value of the test statistic
c. At the 5% significance level, what is the critical value?
d. Have the market shares changed since 2010?
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