In a random sample of 150 customers of a high-speed

Chapter 5, Problem 12E

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QUESTION:

In a random sample of 150 customers of a high-speed internet provider, 63 said that their service had been interrupted one or more times in the past month.

a. Find a 95% confidence interval for the proportion of customers whose service was interrupted one or more times in the past month.

b. Find a 99% confidence interval for the proportion of customers whose service was interrupted one or more times in the past month.

c. Find the sample size needed for a 95% confidence interval to specify the proportion to within \(\pm\)0.05.

d. Find the sample size needed for a 99% confidence interval to specify the proportion to within \(\pm\)0.05.

Equation transcription:

Text transcription:

\pm

Questions & Answers

QUESTION:

In a random sample of 150 customers of a high-speed internet provider, 63 said that their service had been interrupted one or more times in the past month.

a. Find a 95% confidence interval for the proportion of customers whose service was interrupted one or more times in the past month.

b. Find a 99% confidence interval for the proportion of customers whose service was interrupted one or more times in the past month.

c. Find the sample size needed for a 95% confidence interval to specify the proportion to within \(\pm\)0.05.

d. Find the sample size needed for a 99% confidence interval to specify the proportion to within \(\pm\)0.05.

Equation transcription:

Text transcription:

\pm

ANSWER:

Answer:

Step 1 of 5:

            Suppose that, a random sample of 150 customers of a high-speed internet provider, 63 said that their service had been interrupted one or more times in the past month.

                 Here,   

                                     x = 63, n = 150


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