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Help!! Please help me to understand (work out) how to do this problem. And if po

ID: 3150671 • Letter: H

Question

Help!! Please help me to understand (work out) how to do this problem. And if possible the steps how to do it in Excel. Thank you!

2. A local business is interested in the opinion of its customers as to the effectiveness of its

product. There is no past data as to this effectiveness and no guess that has any degree of

basis. How large of sample of customers is needed to assure the error will be no greater than

20% with a 95% confidence?

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Explanation / Answer

Note that      
      
n = z(alpha/2)^2 p (1 - p) / E^2      
      
where      
      
alpha/2 =    0.025  
As there is no previous estimate for p, we set p = 0.5.      
      
Using a table/technology,      
      
z(alpha/2) =    1.959963985  
      
Also,      
      
E =    0.2  
p =    0.5  
      
Thus,      
      
n =    24.00911763  
      
Rounding up,      
      
n =    25   [ANSWER]

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