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Question 10 of 10 (2 points) View problem in a pop-up It is believed that 25% of

ID: 3365123 • Letter: Q

Question

Question 10 of 10 (2 points) View problem in a pop-up It is believed that 25% of US. homes have a direct satellite television receiver. Round your answers up to a whole number if necessary for the following questions Source: New York Times Almanac Part 1 How large a sample is necessary to estimate the true population of homes that have a direct satellite television receiver with 99% confidence and within 5 percentage points? n-500 Part 2 out of 2 How large a sample is necessary if nothing is known about the population? Su st Responsel

Explanation / Answer

Solutionpart1:

z alpha/2 for 99%=2.576

p=25%=0.25

n=z alpha/2^2*p(1-p)/E^2

=2.576^2*0.25*(1-0.25)/0.05^2

=497.68

=498

PART 1:NOT 500 T IS 498

Solution part2:

if nothing given take

p=1/2

n=z alpha/2^2*p(1-p)/E^2

=2.576^2*0.5(1-0.5)/0.05^2

=663.5776
=664

ANSWER:664 IF NOTHING IS KNOWN ABOUT THE POPULATION

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