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# A SPORTING GOODS STORE SELLS MAINLY FOUR BRANDS

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Author: Christine Farr
##### Description:

A sporting goods store sells mainly four brands of running shoes (Nike, New Balance, Adidas, and Reebok.)  A market researcher wants to test if the underlying pattern of the distribution of the shoe sales follows a 5:3:1:1 ratio.  We classify a random sample of 240 sales in the table below:
Shoe Brand

Nike

New Balance

Adidas

Reebok

Number of sales

135

55

35

15(1

(1) This data would be best analyzed as a:
(2) The appropriate null hypothesis to be tested is:
(3) The 135 Nike sales would be considered a(n):
(4) Assuming the appropriate “null hypothesis” for this study is true, the “expected” sales for New Balance should be:
(5) The “degrees of freedom” for this analysis would be
(6) Assuming the appropriate “null hypothesis” for this is true, the likelihood or chance that you could observe the frequency pattern in the sample data is:
(7) Assuming a level of significance of 0.05 and the sample results, you should conclude that...

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