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Most major airlines allow passengers to carry two pieces of luggage (of a certain maximum size) onto the plane. However, their studies show that the more carry-on baggage passengers have, the longer it takes to unload and load passengers One regional airline is considering changing its policy to allow only one carry-on per passenger. Before doing so, it decided to collect some data. Specifically, a random sample of 1,000 passengers was selected. The passengers were observed, pnd the number of bags carried on the plane was noted. Out of the 1,000 passengers, 332 had more than one bag. Complete parts a through d below. E Click the icon to view a table of critical values for commonly used confidence levels.

Most major airlines allow passengers to carry two pieces of luggage (of a certain maximum size) onto the plane. However, their studies show that the more carry-on baggage passengers have, the longer it takes to unload and load passengers One regional airline is considering changing its policy to allow only one carry-on per passenger. Before doing so, it decided to collect some data. Specifically, a random sample of 1,000 passengers was selected. The passengers were observed, pnd the number of bags carried on the plane was noted. Out of the 1,000 passengers, 332 had more than one bag. Complete parts a through d below. E Click the icon to view a table of critical values for commonly used confidence levels.

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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Most major airlines allow passengers to carry two pieces of luggage (of a certain maximum size) onto the plane. However, their studies show that the more carry-on baggage passengers have, the longer it takes to unload and load passengers. One regional airline is considering changing its policy to allow only one carry-on per passenger. Before doing so, it decided to collect some data. Specifically, a random sample of 1,000 passengers was selected. The passengers were observed, and the number of bags carried on the plane was noted. Out of the 1,000 passengers, 332 had more than one bag. Complete parts a through d below. Click the icon to view a table of critical values for commonly used confidence levels. a. Based on this sample, develop and interpret a 95% confidence interval estimate for the proportion of the traveling population that would have been impacted had the one-bag limit been in effect. Determine the confidence interval. (Round to three decimal places as needed. Use ascending order.) Which statement below correctly interprets the confidence interval? O A. Of all the possible population proportions of passengers with more than one carry-on bag, 95% are in the interval. B. There is a 0.95 probability that the population proportion of passengers with more than one carry-on bag is in the interval. C. There is a 0.95 probability that the sample proportion of passengers with more than one carry-on bag is in the interval. D. There is 95% confidence that the population proportion of passengers with more than one carry-on bag is in the interval. b. A certain plane has a capacity for 485 passengers. Determine an interval estimate of the number of passengers that you would expect to carry more than one piece of luggage on the plane. Assume the plane is at its passenger capacity. An interval estimate is from to passengers. (Round to the nearest whole number as needed.) c. Suppose the airline also noted whether the passenger was male or female. Out of the 1,000 passengers observed, 638 were male. Of this group, 271 had more than one bag. Using these data, obtain and interpret a 95% confidence interval estimate for the proportion of male passengers in the population who would have been affected by the one-bag limit. Determine the confidence interval. (Round to three decimal places as needed. Use ascending order.) Which statement below correctly interprets the confidence interval? There is an 95 prohahility that the samnle pronortion of male nassengers writh more than one carry-on bag is in the interval Click to select your answer(s). MacBook Pro 20 888 DOC esc 2# $ & 1 2 3 4 5 7 8 9 { Q W E R T Y
Transcribed Image Text:Most major airlines allow passengers to carry two pieces of luggage (of a certain maximum size) onto the plane. However, their studies show that the more carry-on baggage passengers have, the longer it takes to unload and load passengers. One regional airline is considering changing its policy to allow only one carry-on per passenger. Before doing so, it decided to collect some data. Specifically, a random sample of 1,000 passengers was selected. The passengers were observed, and the number of bags carried on the plane was noted. Out of the 1,000 passengers, 332 had more than one bag. Complete parts a through d below. Click the icon to view a table of critical values for commonly used confidence levels. a. Based on this sample, develop and interpret a 95% confidence interval estimate for the proportion of the traveling population that would have been impacted had the one-bag limit been in effect. Determine the confidence interval. (Round to three decimal places as needed. Use ascending order.) Which statement below correctly interprets the confidence interval? O A. Of all the possible population proportions of passengers with more than one carry-on bag, 95% are in the interval. B. There is a 0.95 probability that the population proportion of passengers with more than one carry-on bag is in the interval. C. There is a 0.95 probability that the sample proportion of passengers with more than one carry-on bag is in the interval. D. There is 95% confidence that the population proportion of passengers with more than one carry-on bag is in the interval. b. A certain plane has a capacity for 485 passengers. Determine an interval estimate of the number of passengers that you would expect to carry more than one piece of luggage on the plane. Assume the plane is at its passenger capacity. An interval estimate is from to passengers. (Round to the nearest whole number as needed.) c. Suppose the airline also noted whether the passenger was male or female. Out of the 1,000 passengers observed, 638 were male. Of this group, 271 had more than one bag. Using these data, obtain and interpret a 95% confidence interval estimate for the proportion of male passengers in the population who would have been affected by the one-bag limit. Determine the confidence interval. (Round to three decimal places as needed. Use ascending order.) Which statement below correctly interprets the confidence interval? There is an 95 prohahility that the samnle pronortion of male nassengers writh more than one carry-on bag is in the interval Click to select your answer(s). MacBook Pro 20 888 DOC esc 2# $ & 1 2 3 4 5 7 8 9 { Q W E R T Y
Most major airlines allow passengers to carry two pieces of luggage (of a certain maximum size) onto the plane. However, their studies show that the more carry-on baggage passengers have, the longer it takes to unload and load passengers. One regional airline is considering changing its policy to allow only one carry-on per passenger. Before doing so, it decided to collect some data. Specifically, a random sample of 1,000 passengers was selected. The passengers were observed, and the number of bags carried on the plane was noted. Out of the 1,000 passengers, 332 had more than one bag. Complete parts a through d below. Click the icon to view a table of critical values for commonly used confidence levels. O C. There is a 0.95 probability that the sample proportion of passengers with more than one carry-on bag is in the interval. O D. There is 95% confidence that the population proportion of passengers with more than one carry-on bag is in the interval. b. A certain plane has a capacity for 485 passengers. Determine an interval estimate of the number of passengers that you would expect to carry more than one piece of luggage on the plane. Assume the plane is at its passenger capacity. An interval estimate is from to passengers. (Round to the nearest whole number as needed.) c. Suppose the airline also noted whether the passenger was male or female. Out of the 1,000 passengers observed, 638 were male. Of this group, 271 had more than one bag. Using these data, obtain and interpret a 95% confidence interval estimate for the proportion of male passengers in the population who would have been affected by the one-bag limit. Determine the confidence interval. Critical Values for Commonly sed Confidence Levers (Round to three decimal places as needed. Use ascending order.) Confidence Level Critical Value Which statement below correctly interprets the confidence interval? z = 1.28 z= 1.645 z = 1.96 z= 2.575 80% 90% A. There is a 0.95 probability that the sample proportion of male passengers with more than one carry-on bag is in the interval. 95% 99% B. Of all the possible population proportions of male passengers with more than one carry-on bag, 95% are in the interval. C. There is a 0.95 probability that the population proportion of male passengers with more than one carry-on bag is in the interval. Print Done D. There is 95% confidence that the population proportion of male passengers with more than one carry-on bag is in the interval. d. Suppose the airline decides to conduct a survey of its customers to determine their opinion of the proposed one-bag limit. The plan calls for a random sample of customers on different flights to be given a short written survey to complete during the flight. One key question on the survey will be: "Do you approve of limiting the number of carry-on bags to a maximum of one bag?" Airline managers expect that only about 15% will say "yes." Based on this assumption, what size sample should the airline take if it wants to develop a 95% confidence interval estimate for the population proportion who will say "yes" with a margin of error of ±0.02? The airline should survey passengers. (Round up to the nearest whole number as needed.) Click to select your answer(s). ? MacBook Pro 20 888 esc O00 The @ # $ & 1 2 3 4 5 7 9 Q W E T Y P * 00 く。
Transcribed Image Text:Most major airlines allow passengers to carry two pieces of luggage (of a certain maximum size) onto the plane. However, their studies show that the more carry-on baggage passengers have, the longer it takes to unload and load passengers. One regional airline is considering changing its policy to allow only one carry-on per passenger. Before doing so, it decided to collect some data. Specifically, a random sample of 1,000 passengers was selected. The passengers were observed, and the number of bags carried on the plane was noted. Out of the 1,000 passengers, 332 had more than one bag. Complete parts a through d below. Click the icon to view a table of critical values for commonly used confidence levels. O C. There is a 0.95 probability that the sample proportion of passengers with more than one carry-on bag is in the interval. O D. There is 95% confidence that the population proportion of passengers with more than one carry-on bag is in the interval. b. A certain plane has a capacity for 485 passengers. Determine an interval estimate of the number of passengers that you would expect to carry more than one piece of luggage on the plane. Assume the plane is at its passenger capacity. An interval estimate is from to passengers. (Round to the nearest whole number as needed.) c. Suppose the airline also noted whether the passenger was male or female. Out of the 1,000 passengers observed, 638 were male. Of this group, 271 had more than one bag. Using these data, obtain and interpret a 95% confidence interval estimate for the proportion of male passengers in the population who would have been affected by the one-bag limit. Determine the confidence interval. Critical Values for Commonly sed Confidence Levers (Round to three decimal places as needed. Use ascending order.) Confidence Level Critical Value Which statement below correctly interprets the confidence interval? z = 1.28 z= 1.645 z = 1.96 z= 2.575 80% 90% A. There is a 0.95 probability that the sample proportion of male passengers with more than one carry-on bag is in the interval. 95% 99% B. Of all the possible population proportions of male passengers with more than one carry-on bag, 95% are in the interval. C. There is a 0.95 probability that the population proportion of male passengers with more than one carry-on bag is in the interval. Print Done D. There is 95% confidence that the population proportion of male passengers with more than one carry-on bag is in the interval. d. Suppose the airline decides to conduct a survey of its customers to determine their opinion of the proposed one-bag limit. The plan calls for a random sample of customers on different flights to be given a short written survey to complete during the flight. One key question on the survey will be: "Do you approve of limiting the number of carry-on bags to a maximum of one bag?" Airline managers expect that only about 15% will say "yes." Based on this assumption, what size sample should the airline take if it wants to develop a 95% confidence interval estimate for the population proportion who will say "yes" with a margin of error of ±0.02? The airline should survey passengers. (Round up to the nearest whole number as needed.) Click to select your answer(s). ? MacBook Pro 20 888 esc O00 The @ # $ & 1 2 3 4 5 7 9 Q W E T Y P * 00 く。
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