A surprising fact is that only 56% of all teens use a password on their mobile device. If a poll chooses a simple random sample of teens and asks if they use a password on their mobile device, the percent who say “Yes” will vary from sample to sample, if the sampling is repeated. In fact, if we look at the sampling distribution in this case, we will see that the percent “Yes” in many samples of the same size will follow a Normal distribution, with a mean of 56% and a standard deviation of 1.6%. The variation from sample to sample, when the poll is repeated, is described by the standard deviation(1.6 percent). We would like this variation to be small so that the repeated poll give almost the same result. To reduce the standard deviation, we could A) None of the other answers are correct B)use a simple random sample of size less than 1,000 C)use a simple random sample of size greater than 1,000 D)use a confidence level greater than 95 percent E) use a confidence level less than 95 percent

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A surprising fact is that only 56% of all teens use a password on their mobile device. If a poll chooses a simple random sample of teens and asks if they use a password on their mobile device, the percent who say “Yes” will vary from sample to sample, if the sampling is repeated. In fact, if we look at the sampling distribution in this case, we will see that the percent “Yes” in many samples of the same size will follow a Normal distribution, with a mean of 56% and a standard deviation of 1.6%. The variation from sample to sample, when the poll is repeated, is described by the standard deviation(1.6 percent). We would like this variation to be small so that the repeated poll give almost the same result. To reduce the standard deviation, we could

A) None of the other answers are correct

B)use a simple random sample of size less than 1,000

C)use a simple random sample of size greater than 1,000

D)use a confidence level greater than 95 percent

E) use a confidence level less than 95 percent

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