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, 386 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 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.

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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, 386 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.
O B. There is 95% confidence 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.
O D. There is a 0.95 probability that the population proportion of passengers with moreyhan one carry-on bag is in the interval.
b. A certain plane has a capacity for 462 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, 624 were female. Of this group, 205 had more than one bag. Using these data, obtain and interpret a 95% confidence interval
estimate for the proportion of female 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 05% confidence that the nonulation proportion of fomale nassengers with more then one cormion haa ie in the intenval
Click to select your answer(s).
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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, 386 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. O B. There is 95% confidence 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. O D. There is a 0.95 probability that the population proportion of passengers with moreyhan one carry-on bag is in the interval. b. A certain plane has a capacity for 462 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, 624 were female. Of this group, 205 had more than one bag. Using these data, obtain and interpret a 95% confidence interval estimate for the proportion of female 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 05% confidence that the nonulation proportion of fomale nassengers with more then one cormion haa ie in the intenval Click to select your answer(s). MacBook Pro 888 esc $ 3 4 7 8 2 P Q R T Y U W E A F G K I
Click the icon to view a table of critical values for commonly used confidence levels.
OC. 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 a 0.95 probability 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 462 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, 624 were female. Of this group, 205 had more than one bag. Using these data, obtain and interpret a 95% confidence interval
estimate for the proportion of female passengers in the population who would have been affected by the one-bag limit.
Determine the confidence interval.
i Critical Values for Commonly Used Confidence Levers
(Round to three decimal places as needed. Use ascending order.)
Confidence Level
Critical Value
Which statement below correctly interprets the confidence interval?
80%
z = 1.28
z = 1.645
z = 1.96
z = 2.575
90%
A. There is 95% confidence that the population proportion of female passengers with more than one carry-on bag is in the interval.
95%
99%
OB. Of all the possible population proportions of female passengers with more than one carry-on bag, 95% are in the interval.
C. There is a 0.95 probability that the sample proportion of female passengers with more than one carry-on bag is in the interval.
O D. There is a 0.95 probability that the population proportion of female passengers with more than one carry-on bag is in the interval.
Print
Done
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 10% 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).
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Transcribed Image Text:Click the icon to view a table of critical values for commonly used confidence levels. OC. 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 a 0.95 probability 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 462 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, 624 were female. Of this group, 205 had more than one bag. Using these data, obtain and interpret a 95% confidence interval estimate for the proportion of female passengers in the population who would have been affected by the one-bag limit. Determine the confidence interval. i Critical Values for Commonly Used Confidence Levers (Round to three decimal places as needed. Use ascending order.) Confidence Level Critical Value Which statement below correctly interprets the confidence interval? 80% z = 1.28 z = 1.645 z = 1.96 z = 2.575 90% A. There is 95% confidence that the population proportion of female passengers with more than one carry-on bag is in the interval. 95% 99% OB. Of all the possible population proportions of female passengers with more than one carry-on bag, 95% are in the interval. C. There is a 0.95 probability that the sample proportion of female passengers with more than one carry-on bag is in the interval. O D. There is a 0.95 probability that the population proportion of female passengers with more than one carry-on bag is in the interval. Print Done 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 10% 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 esc 888 8. Q E Y K B # 00 F. %24
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