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 throughd below. E Click the icon to view a table of critical values for commonly used confidence levels. There is a 0.95 probability that the sample proportion of passengers with more than one carry-on bag is in the interval.
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 throughd below. E Click the icon to view a table of critical values for commonly used confidence levels. There is a 0.95 probability that the sample proportion of passengers with more than one carry-on bag is in the interval.
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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![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.
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 Used Confidence Leveis
(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.
O 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
O 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).
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D.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56c59668-d418-4bac-a498-9e14cd9e06f9%2F7c6489b4-7f50-4a22-ab7d-0a8feed09c7f%2Fs8kwx7f_processed.jpeg&w=3840&q=75)
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.
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 Used Confidence Leveis
(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.
O 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
O 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
esc
888
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D.
![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.
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.
(Round to three decimal places as needed. Use ascending order.)
Which statement below correctly interprets the confidence interval?
There is a0 95 prohahility that the sample pronortion of male nassengere with more than one corry on bag is in the intenval
Click to select your answer(s).
MacBook Pro
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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, 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.
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.
(Round to three decimal places as needed. Use ascending order.)
Which statement below correctly interprets the confidence interval?
There is a0 95 prohahility that the sample pronortion of male nassengere with more than one corry on bag is in the intenval
Click to select your answer(s).
MacBook Pro
888
O00
esc
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@
%2#
$
2
3
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P
Q
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U
* 00
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