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 a simple random sample, the value of np(1-p) is 251.404, which is greater than or equal to 10, and the is stated to be 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 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 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 a simple random sample, the value of np(1-p) is 251.404, which is greater than or equal to 10, and the is stated to be 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 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
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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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
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
(Round to three decimal places as needed.)
can be assumed to be
less than or equal to 5% of the population 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.)
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
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