A Department Store (A), has four competitors: B, C, D and E. Store A hire a consultant to determine if the percentage of shoppers who prefer each of the five stores is the same. A survey of 1100 randomly selected shoppers is conducted, and the results about which one of the stores shoppers prefer are below. Is there enough evidence using a significance level a = 0.05 to conclude that the proportions are really the same?  Store        No. of Shoppers A              262 B              234 C              204 D              190 E              210   a. Create the Null Hypothesis (Ho) b. Establish the Alternative Hypothesis (Ha) c. Solve for the degree of freedom k - 1

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A Department Store (A), has four competitors: B, C, D and E. Store A hire a consultant to determine if the percentage of shoppers who prefer each of the five stores is the same. A survey of 1100 randomly selected shoppers is conducted, and the results about which one of the stores shoppers prefer are below. Is there enough evidence using a significance level a = 0.05 to conclude that the proportions are really the same? 

Store        No. of Shoppers

A              262

B              234

C              204

D              190

E              210

 

a. Create the Null Hypothesis (Ho)

b. Establish the Alternative Hypothesis (Ha)

c. Solve for the degree of freedom k - 1

d. Calculate the test statistic

e. Interpret the result. Is there enough evidence to reject Ho?

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