1. 227 trout in Center Hill Lake were tested for a particular genetic defect whi

Question

1. 227 trout in Center Hill Lake were tested for a particular genetic defect which causes the dorsal fin to be slightly bent. 11 of the trout caught were found to have this genetic defect Give the LOWER VALUE of a 97% confidence interval for the true proportion of trout that have this genetic defect. Please submit the answer with 4 decimal places.

2. You have been asked by your new boss at Belk's to do a survey of customers on their preference of the location of the customer service desk. She would like a 95% confidence interval with a margin of error of 0.07. How many people do you need to survey?

Explanation / Answer

here estimated p=11/227=0.048

n=227 ; std error =(p(1-p)/n)1/2 =0.014

for 97% CI; z=2.17

therefore 97% lower value of confidence interval = p-z*std errror =0.0175

2)here margin of error E =0.07

for 95% CI ; z=1.96

as we do not have estimate of proportion; p=0.5

therefore number of p[eople needed for survey =p(1-p)*(Z/E)2 =196

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