A random sample of 1028 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 1028 adults surveyed, 532 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 roquirements for constructing a confidence interval about p are satisfied. The sample Va simple random sample, the value of v is . which is v 10, and the V less than or equal to 5% of the (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 tolevisions are a luxury they coukd do without is betwoen and. O B. We are % confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between and.
A random sample of 1028 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 1028 adults surveyed, 532 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 roquirements for constructing a confidence interval about p are satisfied. The sample Va simple random sample, the value of v is . which is v 10, and the V less than or equal to 5% of the (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 tolevisions are a luxury they coukd do without is betwoen and. O B. We are % confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between and.
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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Transcribed Image Text:A random sample of 1028 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 1028 adults surveyed, 532 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
is
which is
10, and the
less than or equal to 5% of the
(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
O B. We are
% confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between
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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