Question

If the population of voters was 40,000,000, then approximately how big of a sample would a...

If the population of voters was 40,000,000, then approximately how big of a sample would a pollster need to get her estimated population proportion to within a 3% uncertainty (95% confidence)? Note, full credit if you are within 20% of the correct size of sample!   

0 0
Add a comment Improve this question Transcribed image text
Answer #1

When prior estimate for proportion is not specified then p = 0.50

Sample size = Z2/2 * p( 1 - p) / E2

= 1.962 * 0.5 * 0.5 / 0.032

= 1068

Add a comment
Know the answer?
Add Answer to:
If the population of voters was 40,000,000, then approximately how big of a sample would a...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • a. Assume that a sample is used to estimate a population proportion p. Find the 95%...

    a. Assume that a sample is used to estimate a population proportion p. Find the 95% confidence interval for a sample of size 198 with 42 successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places. 95% C.I. = b. A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 0.5% margin of error at a 99% confidence...

  • A pollster wishes to estimate the true proportion of U.S. voters who oppose capital punishment. How...

    A pollster wishes to estimate the true proportion of U.S. voters who oppose capital punishment. How many voters should be surveyed in order to be 95% confident that the true proportion is estimated to within 2%?

  • A) A certain region would like to estimate the proportion of voters who intend to participate...

    A) A certain region would like to estimate the proportion of voters who intend to participate in upcoming elections. A pilot sample of 25 voters found that 17 of them intended to vote in the election. Determine the additional number of voters that need to be sampled to construct a 95​% interval with a margin of error equal to 0.06 to estimate the proportion. The region should sample ____ additional voters. B) Determine the sample size needed to construct a...

  • You wish to sample a population of voters in order to obtain a 99% confidence interval...

    You wish to sample a population of voters in order to obtain a 99% confidence interval for the proportion of voters supporting Candidate A. (10 points) If you wish the error term of your estimate to be less than 0.05, find the conservative number of voters that you will need to sample in order to accomplish this. (10 points) Suppose now that your boss asks you to reduce this conservative error term by some factor k, where (0 < k...

  • Problem 1. A politician is interested how voters in her district feel about gun control. She...

    Problem 1. A politician is interested how voters in her district feel about gun control. She surveyed 175 voters and found that 96 support gun control. She wants to estimate the proportion of all voters in her district who support gun control with a 95% confidence interval. (a) (2 points) Find the point estimate. (b) (2 points) Verify that the conditions for inference are satisfied. (c) (2 points) Construct the confidence interval for estimating the population proportion. Interpret your results....

  • You want to obtain a sample to estimate a population proportion. Based on previous evidence, you...

    You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p=0.69. You would like to be 95% confident that your esimate is within 2% of the true population proportion. How large of a sample size is required? Hint: Video [+]

  • QUESTION PART A: You want to obtain a sample to estimate a population proportion. At this...

    QUESTION PART A: You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the population proportion. You would like to be 90% confident that you esimate is within 0.5% of the true population proportion. How large of a sample size is required? n = Do not round mid-calculation. However, use a critical value accurate to three decimal places. QUESTION PART B: You want to obtain a sample to...

  • In a random sample of 100 registered voters, 20 say they plan to vote for Candidate A. Determine a 95% confidence interval for the proportion of all the registered voters who will vote for Candida...

    In a random sample of 100 registered voters, 20 say they plan to vote for Candidate A.Determine a 95% confidence interval for the proportion of all the registered voters who will vote for Candidate A.You are interested in knowing support for candidate by gender to provide strategic advice to candidate B. Suppose your guess based on previous knowledge is that female support for candidate B is around 20 percent, and male support for candidate B is around 50 percent. Suppose...

  • After this year's Iowa caucuses, a random sample of 80 voters were asked if they support...

    After this year's Iowa caucuses, a random sample of 80 voters were asked if they support changing the ordering in which states hold their presidential primary contests. Based on this sample, a 95% confidence interval for theproportion of voters who are in favor of changing the ordering was (0.54, 0.72). 1) Which of the following is true? A. 95% of the sampled voters are in favor of changing the ordering. B. the margin of error for the confidence interval is...

  • 23. Suppose a sample of n = 50 items is drawn from a population of manufactured...

    23. Suppose a sample of n = 50 items is drawn from a population of manufactured products and the weight, X, of each item is recorded. Prior experience has shown that the weight has a probability distribution with 6 ounces and ơ-2.5 ounces. Which of the following is true about the sampling distribution of the sample mean if a sample of size 15 is selected? a) The mean of the sampling distribution is 6 ounces b) The standard deviation of...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT