Question
Asked Apr 24, 2019
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A random sample of 501 satellite radio subscribers were asked "Do you have a satellite radio
receiver in your car?" The survey found that 296 subscribers did, in fact, have a satellite receiver
in their car.
4.
a) From the sample, calculate as estimate of the true proportion of satellite ration
subscribers who have a satellite radio receiver in their car.
Form a 90% confidence interval for the estimate in part (a).
Give a practical interpretation of the interval in part (b).
b)
c)
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A random sample of 501 satellite radio subscribers were asked "Do you have a satellite radio receiver in your car?" The survey found that 296 subscribers did, in fact, have a satellite receiver in their car. 4. a) From the sample, calculate as estimate of the true proportion of satellite ration subscribers who have a satellite radio receiver in their car. Form a 90% confidence interval for the estimate in part (a). Give a practical interpretation of the interval in part (b). b) c)

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Expert Answer

Step 1

True proportion estimate will be given by the ratio of success/favorable outcomes and the total sample size.

True proportion (in this case ) is calculated as shown below.

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Step 2

Let sample proportion be denoted by p-hat.  Confidence interval can be calculated using the formula shown below as long as there are atleast 5 successes (favorable outcomes) and 5 failures (unfavorabl outcomes) in the sample.

 

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Step 3

Confidence interval: (0.555, 0.627)  when confidence level is 90% 

This would mea...

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