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According to a recent survey, 73% of teens ages 12-17 in a certain country used social networks in 2009. A random sample of 140 teenagers from this age group was selected. Complete parts a through d below. a. Calculate the standard error of the proportion 6, = (Round to four decimal places as needed.) b. What is the probability that less than 75% of the teens from this sample used social networks? P(Less than 75% of the teens from this sample used social networks) = (Round to four decimal places as needed.) c. What is the probability that between 70% and 80% of the teens from this sample used social networks? P(Between 70% and 80% of the teens from this sample used social networks) = (Round to four decimal places as needed.) d. What impact would changing the sample size to 200 teens have an the results of parts a, b, and c? Choose the correct answer below. O A. The standard error would be increased, which would, in tum, increase the probabilities that the sample proportions will be closer to the population proportion. O B. The standard error would be increased, which would, in tum, reduce the probabilities that the sample proportions will be closer to the population proportion. OC. The standard error would be reduced, which would, in tum, increase the probabilities that the sample proportions will be coser to the population proportion. O D. The standard error would be reduced, which would, in tum, reduce the probabilities that the sample proportions will be closer to the population proportion. O E. Changing the sample size would have no effect on the standard error or the probabilities that the sample proportions will be closer to the population proportion.

According to a recent survey, 73% of teens ages 12-17 in a certain country used social networks in 2009. A random sample of 140 teenagers from this age group was selected. Complete parts a through d below. a. Calculate the standard error of the proportion 6, = (Round to four decimal places as needed.) b. What is the probability that less than 75% of the teens from this sample used social networks? P(Less than 75% of the teens from this sample used social networks) = (Round to four decimal places as needed.) c. What is the probability that between 70% and 80% of the teens from this sample used social networks? P(Between 70% and 80% of the teens from this sample used social networks) = (Round to four decimal places as needed.) d. What impact would changing the sample size to 200 teens have an the results of parts a, b, and c? Choose the correct answer below. O A. The standard error would be increased, which would, in tum, increase the probabilities that the sample proportions will be closer to the population proportion. O B. The standard error would be increased, which would, in tum, reduce the probabilities that the sample proportions will be closer to the population proportion. OC. The standard error would be reduced, which would, in tum, increase the probabilities that the sample proportions will be coser to the population proportion. O D. The standard error would be reduced, which would, in tum, reduce the probabilities that the sample proportions will be closer to the population proportion. O E. Changing the sample size would have no effect on the standard error or the probabilities that the sample proportions will be closer to the population proportion.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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According to a recent survey, 73% of teens ages 12-17 in a certain country used social networks in 2009. A random sample of 140 teenagers from this age group was selected. Complete parts a through d below. a. Calculate the standard error of the proportion o, = (Round to four decimal places as needed.) b. What is the probability that less than 75% of the teens from this sample used social networks? P(Less than 75% of the teens from this sample used social networks) = (Round to four decimal places as needed.) c. What is the probability that between 70% and 80% of the teens from this sample used social networks? P(Between 70% and 80% of the teens from this sample used social networks) = (Round to four decimal places as needed.) d. What impact would changing the sample size to 200 teens have on the results of parts a, b, and c? Choose the correct answer below. O A. The standard error would be increased, which would, in tum, increase the probabilities that the sample proportions will be closer to the population proportion. O B. The standard error would be increased, which would, in tum, reduce the probabilitie5 that the sample proportions will be closer to the population proportion. Oc. The standard error would be reduced, which would, in tum, increase the probabilities that the sample proportions will be coser to the population proportion. O D. The standard error would be reduced, which would, in tum, reduce the probabilities that the sample proportions will be closer to the population proportion. O E. Changing the sample size would have no effect on the standard error or the probabilities that the sample proportions will be closer to the population proportion.
Transcribed Image Text:According to a recent survey, 73% of teens ages 12-17 in a certain country used social networks in 2009. A random sample of 140 teenagers from this age group was selected. Complete parts a through d below. a. Calculate the standard error of the proportion o, = (Round to four decimal places as needed.) b. What is the probability that less than 75% of the teens from this sample used social networks? P(Less than 75% of the teens from this sample used social networks) = (Round to four decimal places as needed.) c. What is the probability that between 70% and 80% of the teens from this sample used social networks? P(Between 70% and 80% of the teens from this sample used social networks) = (Round to four decimal places as needed.) d. What impact would changing the sample size to 200 teens have on the results of parts a, b, and c? Choose the correct answer below. O A. The standard error would be increased, which would, in tum, increase the probabilities that the sample proportions will be closer to the population proportion. O B. The standard error would be increased, which would, in tum, reduce the probabilitie5 that the sample proportions will be closer to the population proportion. Oc. The standard error would be reduced, which would, in tum, increase the probabilities that the sample proportions will be coser to the population proportion. O D. The standard error would be reduced, which would, in tum, reduce the probabilities that the sample proportions will be closer to the population proportion. O E. Changing the sample size would have no effect on the standard error or the probabilities that the sample proportions will be closer to the population proportion.
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