A random sample of 1030 satellite radio subscribers were asked, \"Do you have a

Question

A random sample of 1030 satellite radio subscribers were asked, "Do you have a satellite radio receiver in your car?" The survey found that 103 subscribers did in fact, have a satellite receiver in their car. a. From the sample, calculate an estimate of the true proportion of satellite radio subscribers who have a satellite radio receiver in their car. b. Form a 90% confidence interval for the estimate, part a. c. Give an interpretation of the interval, part b a. = p^= (Type an integer or a decimal) b The 90% confidence interval is (Round to three decimal places as needed.) c. Interpret the interval. With % confidence, the interval found in part b contains the true value of

Explanation / Answer

a) estimate proportion p =103/1030=0.1

b) std error =(p(1-p)/n)1/2 =0.0093

for 90% CI; z=1.645

therefore 90% confidence interval = p-/+ z*std error =0.085 ; 0.115

c) with 90% confidence ; the ...........true value of proportion,

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