The market share in  2010 of five 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 shared in 2010 Number of recent Customers 1 0.40 70 2 0.32 60 3 0.24 54 4 0.02 10 5 0.02 6

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The market share in  2010 of five 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 shared in 2010

Number of recent Customers

1

0.40

70

2

0.32

60

3

0.24

54

4

0.02

10

5

0.02

6

 

  1. Specify the competing hypothesis to test whether the market shares have changed since 2010.
  2. Calculate the value of the test statistics.
  3. Use a = 0.05 to determine if the market shares have changed since 2010.
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