A random sample of 1026 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 1026 adults surveyed, 533 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below. (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 256.130, 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.) OA. 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 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 and
A random sample of 1026 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 1026 adults surveyed, 533 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below. (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 256.130, 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.) OA. 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 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 and
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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Transcribed Image Text:A random sample of 1026 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 1026 adults surveyed, 533
indicated that televisions are a luxury they could do without. Complete parts (a) through (e)
below.
(b) Verify that the requirements for constructing a confidence interval about p are satisfied.
is stated to be a simple random sample, the value of np (1-p) is
The sample
256.130, 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.)
OA. 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
OB. We are 95% confident the proportion of adults in the country who believe that
televisions are a luxury they could do without is between
and
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