A random sample of 1002 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 1002 adults surveyed, 514 indicated that televisions are a luxury they could do without. Complete the question. (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=nothing (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. The sample ▼ can be assumed to be is stated to be is stated to not be cannot be assumed to be a simple random sample, the value of ▼ n ModifyingAbove p with caret left parenthesis 1 minus ModifyingAbove p with caret right parenthesisnp1−p ModifyingAbove p with caret left parenthesis 1 minus ModifyingAbove p with caret right parenthesisp1−p nn n ModifyingAbove p with caretnp ModifyingAbove p with caretp is nothing, which is ▼ less than greater than or equal to 10, and the ▼ sample proportion sample size population proportion population size ▼ is stated to be cannot be assumed to be can be assumed to be is stated to not be less than or equal to 5% of the ▼ population size. sample size. population proportion. sample proportion. (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.) A. We are nothing% confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between nothing and nothing. B. There is a nothing% probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between nothing and nothing.
A random sample of 1002 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 1002 adults surveyed, 514 indicated that televisions are a luxury they could do without. Complete the question. (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=nothing (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. The sample ▼ can be assumed to be is stated to be is stated to not be cannot be assumed to be a simple random sample, the value of ▼ n ModifyingAbove p with caret left parenthesis 1 minus ModifyingAbove p with caret right parenthesisnp1−p ModifyingAbove p with caret left parenthesis 1 minus ModifyingAbove p with caret right parenthesisp1−p nn n ModifyingAbove p with caretnp ModifyingAbove p with caretp is nothing, which is ▼ less than greater than or equal to 10, and the ▼ sample proportion sample size population proportion population size ▼ is stated to be cannot be assumed to be can be assumed to be is stated to not be less than or equal to 5% of the ▼ population size. sample size. population proportion. sample proportion. (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.) A. We are nothing% confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between nothing and nothing. B. There is a nothing% probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between nothing and nothing.
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
Related questions
Concept explainers
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Question
A random sample of
1002
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
1002
adults surveyed,
514
indicated that televisions are a luxury they could do without. Complete the question.(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=nothing
(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
10, and the
less than or equal to 5% of the
▼
can be assumed to be
is stated to be
is stated to not be
cannot be assumed to be
▼
n ModifyingAbove p with caret left parenthesis 1 minus ModifyingAbove p with caret right parenthesisnp1−p
ModifyingAbove p with caret left parenthesis 1 minus ModifyingAbove p with caret right parenthesisp1−p
nn
n ModifyingAbove p with caretnp
ModifyingAbove p with caretp
nothing,
which is
▼
less than
greater than or equal to
▼
sample proportion
sample size
population proportion
population size
▼
is stated to be
cannot be assumed to be
can be assumed to be
is stated to not be
▼
population size.
sample size.
population proportion.
sample proportion.
(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.)
We are
nothing%
confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between
nothing
and
nothing.
There is a
nothing%
probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between
nothing
and
nothing.
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