A random sample of 1009 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1009 adults surveyed, 534 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 21. (a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without p= 0 529 (Round to three decimal places needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. a simple random sample, the value of np(1-p) is 251.404, which is greater than or equal to 10, and the can be assumed to be less than or equal to 5% of the population size. The sample (Round to three decimal places as needed.) s stated to be sample size (c) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without. Select the correct choice below and fill in any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) OA. There is a % probability the proportion of adults in the country who believe that televisions are a luxury they could do without is betweenand B. We are 95 % confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between 0.498 and 0.560 (d) is it possible that a supermajority (more than 60%) of adults in the country believe that television is a luxury they could do without? Is it likely? It is possible, but not likely that a supermajority of adults in the country believe that television is a luxury they could do without because the 95% confidence interval does not contain 0.6 (Type an integer or a decimal. Do not round.) (e) Use the results of part (c) to construct a 95% confidence interval for the population proportion adults in the country who believe that televisions are a necessity. Lower boundD Upper bound:O (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A random sample of 1009 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1009 adults surveyed, 534 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below.
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
(a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without.
p= 0.529
(Round to three decimal places as needed.)
(b) Verify that the requirements for constructing a confidence interval about p are satisfied.
The sample
is stated to be
a simple random sample, the value of np(1-p) is 251.404 , which is greater than or equal to 10, and the
sample size
can be assumed to be
less than or equal to 5% of the population size.
(Round to three decimal places as needed.)
(c) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without. Select the correct choice below and fill in any answer boxes within your choice.
(Type integers or decimals rounded to three decimal places as needed. Use ascending order.)
O A. There is a
% probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between
and
G B. We are 95 % confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between 0.498 and 0.560
(d) Is it possible that a supermajority (more than 60%) of adults in the country believe that television is a luxury they could do without? Is it likely?
It is possible, but not likely that a supermajority of adults in the country believe that television is a luxury they could do without because the 95% confidence interval does not contain 0.6 .
(Type an integer or a decimal. Do not round.)
(e) Use the results of part (c) to construct a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a necessity.
,Upper bound:
(Round to three decimal places as needed.)
Lower bound:
Transcribed Image Text:A random sample of 1009 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1009 adults surveyed, 534 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without. p= 0.529 (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. The sample is stated to be a simple random sample, the value of np(1-p) is 251.404 , which is greater than or equal to 10, and the sample size can be assumed to be less than or equal to 5% of the population size. (Round to three decimal places as needed.) (c) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without. Select the correct choice below and fill in any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) O A. There is a % probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between and G B. We are 95 % confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between 0.498 and 0.560 (d) Is it possible that a supermajority (more than 60%) of adults in the country believe that television is a luxury they could do without? Is it likely? It is possible, but not likely that a supermajority of adults in the country believe that television is a luxury they could do without because the 95% confidence interval does not contain 0.6 . (Type an integer or a decimal. Do not round.) (e) Use the results of part (c) to construct a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a necessity. ,Upper bound: (Round to three decimal places as needed.) Lower bound:
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