Question

When the 2000 GSS asked subjects whether they would be willing to accept cuts in their standard of living to protect the environment, 344 of 1170 subjects said yes.

Use 3 decimal places. (a) What is the estimate of the population proportion who would answer yes?

(b) What is the margin of error for this estimate? (Assume a 95% confidence level.)

(c) Find a 95% confidence interval for the population proportion.
(d) Which of the following assumptions are needed for the interval in (c) to be valid?

Expert Solution

Want to see the full answer?

Check out a sample Q&A here
Blurred answer
Students who’ve seen this question also like:
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN: 9781305652231
Author: R. David Gustafson, Jeff Hughes
Publisher: Cengage Learning
Not helpful? See similar books
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Sequences, Series, And Probability. 58E
marketing sidebar icon
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: (a) Calculate the conservative margin of error for the survey, as a percentage. ___% (b) Compute an…

A: Given : Sample size , n = 531 sample proportion is provided = p^=0.73 Confidence Interval = 0.95…

Q: (a) If researchers decide on a 4.2% margin of error for a 95% confidence interval. What sample size…

A: From provided information, Sample proportion is (p̂) = 50% i.e. 0.5 The sample size can be…

Q: The conservative sample size required for a 95 percent confidence interval for π with an error of…

A: Given: Confidence level = 0.95 So, α=1-0.95=0.05 The confidence interval is two sided. Margin of…

Q: Mrs. Voorhees claims that a Bowie knife is the most effective method of disposing rowdy campers. In…

A: Click to see the answer

Q: A November 2018 CBS News Poll found that 35% of its sample planned to use online retailers for most…

A: Given that, A November 2018 CBS News Poll found that 35% of its sample planned to use online…

Q: An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential…

A: The random variable flu follows binomial distribution. X ~ B (n, p). The sample size is 337. The…

Q: An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential…

A: It is given that a simple random sample of 339 people living in East Vancouver and finds that 40…

Q: eth wants to determine a 90 percent confidence interval for the true proportion of high school…

A: Click to see the answer

Q: An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential…

A: Proportion = p =40/334 = 0.119760479041916 Margin of Error = E = 0.04 Confidence Level = 95…

Q: An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential…

A: The known values are, The sample proportion is, Critical values: Using the z-table, the critical…

Q: A simple random sample of 400 individuals provides 100 Yes responses. a. What is the point estimate…

A: It is given that a random survey, 100 responses (x) in “Yes” in a sample of 400 individuals (n).…

Q: An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential…

A: If both the expected number of success and expected number of failures are greater or equal to 10,…

Q: A researcher wants to construct a 95% confidence interval for the proportion of elementary school…

A: Margin of error = 0.07 Population proportion = 0.60 95% confidence level

Q: A simple random sample of 400 individuals provides 100 Yes responses.a. What is the point estimate…

A: Solution: a. Let X be the number of individuals provides Yes response and n be the sample number of…

Q: A consumer agency wants to estimate the proportion of all drivers who wear seat belts while driving.…

A: Click to see the answer

Q: A simple random sample of 400 individuals provides 100 Yes responses.a. What is the point estimate…

A: a.

Q: an epidemiologist is womied about the prevalence of the flu in East Vancouver and the potential…

A: Given data, n=331 x=33 E=0.05 z-value at 95% confidence is Zc=1.960 n=?   p=x/n=33/331=0.0997

Q: An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential…

A: Click to see the answer

Q: 1. A study constructed a 95% confidence interval for the proportion of adults in the U.S. that have…

A: Note- Since you have posted multiple questions, as per our guidelines we are supposed to answer only…

Q: a. Determine a 90 % confidence interval for the population proportion of American youths who have a…

A: If there are more than 5 successes and more than 5 failures, then the confidence interval is…

Q: In an effort to estimate the mean dollars spent per visit by customers of a food store, the manager…

A: Given: s = $12.30  n = 100

Q: A consumer agency wants to estimate the proportion of all drivers who wear seat belts while driving.…

A: Click to see the answer

Q: A soft drink company surveys 500 shoppers and finds that 61% of shoppers prefer diet soda to regular…

A: Click to see the answer

Q: whether they have cell phones. Of the 400 people sampled, 336 responded yes - they own smart phones.…

A: Given that, Sample size n=400 a. sample statistic: The sample statistic is the sample proportion of…

Q: Select the correct response. a) Given the same sample data, the margin of error in a 90% confidence…

A: a) Given the same sample data, the margin of error in a 90% confidence interval would be smaller…

Q: A toy store would like to open a new store in the city of Thousand Oaks, and they would like to know…

A: A toy store would like to open a new store in the city of Thousand Oaks. Out of 100 households…

Q: In practice, if we don’t know whether the population is normal and our sample size is less than 30,…

A: If we don't know whether the population is normal. In this case we can check it easily by two…

Q: A consumer agency wants to estimate the proportion of all driver to wear seatbelts while driving…

A: Click to see the answer

Q: Provide an explanation as to why it would be very unlikely that a different sample of size n=30…

A: Given: n=30

Q: In a study of government financial aid for college​ students, it becomes necessary to estimate the…

A: The required sample size is calculated by using the formula:

Q: In general, how does doubling the sample size change the confidence interval size? (A) Doubles the…

A: When the sample size doubles, then the confidence interval size(width) change divides the interval…

Q: An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential…

A: Click to see the answer

Q: How would the width of the confidence interval change if the confidence level increases co 95%?…

A: We want to know whether the width of confidence interval changes if the sample size is decreased and…

Q: (b) What sample size should be obtained if he wants to be within 4 percentage points with 95%…

A: B) It is given that margin of error (E) is 0.04 and the confidence level is 0.95.

Q: A telephone company has the business objective of wanting to estimate the proportion of households…

A: Click to see the answer

Q: Suppose that you intend to find a 95% confidence interval for a population mean by applying the…

A: The z value at 95% confidence level from the standard normal table is 1.96.Let σ is the population…

Q: Suppose that you intend to find a 95% confidence interval for a population mean by applying the…

A: a) The one mean z-procedure is used to obtain the 95% confidence interval for a sample of size…

Q: By how much must the sample size and be increased if the width of the confidence interval 7.5 is to…

A: The confidence interval for population mean is CI=x¯±zα/2×σn The general formula for width of the…

Q: A two-tailed hypothesis test for H0: μ = 20 at α = .05 is analogous to asking if a 95 percent…

A: Given: Level of significance =  α = 0.05  A two-tailed hypothesis test for H0: μ = 20  against H1:…

Q: A two-tailed hypothesis test for H0: μ = 20 at α = .05 is analogous to asking if a 95 percent…

A: Click to see the answer

Q: Suppose that based on a random sample, a 95% confidence interval for the mean hours slept (per day)…

A: Click to see the answer

Knowledge Booster
Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
  • College Algebra (MindTap Course List)
    Algebra
    ISBN:9781305652231
    Author:R. David Gustafson, Jeff Hughes
    Publisher:Cengage Learning
  • College Algebra (MindTap Course List)
    Algebra
    ISBN:9781305652231
    Author:R. David Gustafson, Jeff Hughes
    Publisher:Cengage Learning