A random sample of 1004 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 1004 adults surveyed, 515 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below. (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. (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. The sample a simple random sample, the value of ▼less than or equal to 5% of the (Round to three decimal places as needed.) ▼ ▼is is which is 10, and the (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. We are % confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between B. 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 and

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A random sample of 1004 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 1004 adults surveyed, 515
indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below.
(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=
(Round to three decimal places as needed.)
(b) Verify that the requirements for constructing a confidence interval about p are satisfied.
The sample
a simple random sample, the value of
less than or equal to 5% of the
(Round to three decimal places as needed.)
is which is
10, and the
(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. We are
B. There is a
% confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between
% probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between
and
and
(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
that a supermajority of adults in the country believe that television is a luxury they could do without because the 95% confidence interval
(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.
Lower bound: Upper bound:
(Round to three decimal places as needed.)
Transcribed Image Text:A random sample of 1004 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 1004 adults surveyed, 515 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below. (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= (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. The sample a simple random sample, the value of less than or equal to 5% of the (Round to three decimal places as needed.) is which is 10, and the (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. We are B. There is a % confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between % probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between and and (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 that a supermajority of adults in the country believe that television is a luxury they could do without because the 95% confidence interval (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. Lower bound: Upper bound: (Round to three decimal places as needed.)
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