Suppose that a corporation has conducted a customer satisfaction survey and obta

Question

Suppose that a corporation has conducted a customer satisfaction survey and obtained the results summarized below. SURVEY QUESTION 1. Compared to most other stores that you shop in, is the Container Store more customer 73 42 81 34 88 27 66 49 friendly? 2. Most of the time, this store has the number and type of home or office storage solution that I need 3. The salespeople at this store appear to be particularly knowledgeable of their products. 4. Store hours are particularly convenient for me. What is the 95% confidence interval for the item "Store hours are particularly convenient for me? .5628p

Explanation / Answer

Total number of store hours = 66 +49 =115

p: propertion of store hours are perticularly convinient for me

p = 66/115 = 0.573913

q = 1- p =0.5739 = 0.426087

alpha= 0.05 Z alpha/2 =Z0.025 = 1.96

95 % confidence ineterval for the item " store hours are perticularly convinient for me is

( p -  Z alpha/2 * sqrt ( p*q/n) , p +  Z alpha/2 * sqrt ( p*q/n) )

= ( 0.573913 - 1.96 * sqrt( 0.5739*0.426087 /115) , 0.5739 + 1.96 * sqrt( 0.573913*0.426087/115)

= ( 0.573913 - 0.046113, 0.573913 + 0.046113 )

= ( 0.5278 , 0.620026)

95 % confidence ineterval for the item " store hours are perticularly convinient for me is

(0.5278 , 0.62006)

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