The market shares in 2012 of four (4) television companies, A, B, C and D are listed below. A survey was carried out in 2017 on 200 television buyers and the distribution of buyers to A, B, C and D are also listed in the last column. Company Market Share in 2012 Number of buyer in 2017 A 0.4

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The market shares in 2012 of four (4) television companies, A, B, C and D are listed below. A survey was carried out in 2017 on 200 television buyers and the distribution of buyers to A, B, C and D are also listed in the last column.

Company Market Share in 2012 Number of buyer in 2017
A 0.4 70
B 0.32 60
C 0.24 54
D 0.04 16

(a) Specify the competing hypotheses to test whether the market shares have changed since 2012.

(b) Calculate the value of the test statistics.

(c) Use ? = 0.05 to determine if the market shares have changed since 2012.

 

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