Question

What is the maximum sample size needed to estimate the proportion of adults in US who...

What is the maximum sample size needed to estimate the proportion of adults in US who vote regularly and want to be 95% sure that the error of our estimate will not exceed 0.06, if we have no information about the true proportion? (Answer should be rounded up to nearest integer)

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

solution :

Given that,

= 0.5

1 - = 1 - 0.5 = 0.5

margin of error = E = 0.06

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96

Sample size = n = (Z/2 / E)2 * * (1 - )

= (1.96* 0.06)2 * 0.5 * 0.5

= 266.77

Sample size = 267 (rounded)

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size...
A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.04 with 95% confidence if A.) She uses a previous estimate of 0.32? (Round up to the nearest integer). B.) She does not use any prior estimates? (Round up to the nearest integer).
A researcher wishes to estimate the proportion of adults who have​ high-speed Internet access. What size...
A researcher wishes to estimate the proportion of adults who have​ high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.02 with 95​% confidence if ​(a) she uses a previous estimate of 0.36​? ​(b) she does not use any prior​ estimates? ​(a ​(Round up to the nearest​ integer.) ​​(Round up to the nearest​ integer.)
A researcher wishes to​ estimate, with 95​% ​confidence, the population proportion of adults who support labeling...
A researcher wishes to​ estimate, with 95​% ​confidence, the population proportion of adults who support labeling legislation for genetically modified organisms​ (GMOs). Her estimate must be accurate within 5​% of the true proportion. ​(a) No preliminary estimate is available. Find the minimum sample size needed. ​(b) Find the minimum sample size​ needed, using a prior study that found that 66​% of the respondents said they support labeling legislation for GMOs. ​(c) Compare the results from parts​ (a) and​ (b). ​(a)...
4) To estimate the population proportion of a given survey, what sample size would be required...
4) To estimate the population proportion of a given survey, what sample size would be required if we want a margin of error of 0.045; a confidence level of 95%; and p and q are unknown. 5). How many cars must be randomly selected and tested in order to estimate the mean braking distance of registered cars in the US? We want a 99% confidence that the sample mean is within 2 ft of the population mean, and the population...
What sample size is needed to give a margin of error within ±4% in estimating a...
What sample size is needed to give a margin of error within ±4% in estimating a population proportion with 95% confidence? Use z-values rounded to three decimal places. Round your answer up to the nearest integer. Sample size = ___________________
A researcher wishes to estimate, with 90% confidence, the population proportion of adults who think the...
A researcher wishes to estimate, with 90% confidence, the population proportion of adults who think the president of their country can control the price of gasoline. Her estimate must be accurate within 4% of the true proportion. No preliminary estimate is available. Find the minimum sample size needed. Find the minimum sample size needed, using a prior study that found that 28% of the respondents said they think their president can control the price of gasoline. Compare the results. What...
A researcher wishes to? estimate, with 95?% ?confidence, the population proportion of adults who are confident...
A researcher wishes to? estimate, with 95?% ?confidence, the population proportion of adults who are confident with their? country's banking system. His estimate must be accurate within 3?% of the population proportion. ?(a) No preliminary estimate is available. Find the minimum sample size needed. ?(b) Find the minimum sample size? needed, using a prior study that found that 22?% of the respondents said they are confident with their? country's banking system. ?(c) Compare the results from parts ?(a) and ?(b)....
You want to estimate the percentage of adults who believe that passwords should be replaced with...
You want to estimate the percentage of adults who believe that passwords should be replaced with biometric security​ (such as​ fingerprints). How many randomly selected adults must you​ survey? Assume that you want to be 95​% confident that the sample percentage is within 4.3 percentage points of the true population percentage. Complete parts​ (a) through​ (c) below. a. Assume that nothing is known about the percentage of adults who believe that passwords should be replaced with biometric security. The sample...
A researcher wishes to​ estimate, with 99​% confidence, the population proportion of adults who think the...
A researcher wishes to​ estimate, with 99​% confidence, the population proportion of adults who think the president of their country can control the price of gasoline. Her estimate must be accurate within 5​% of the true proportion. a) What is the minimum sample size needed assuming that no prior information is​ available? (round to nearest whole #) b) What is the minimum sample size needed using a prior study that found that 32​% of the respondents said they think their...
A survey of 1000 adults in the US conducted in March 2011 asked ‘‘Do you favor...
A survey of 1000 adults in the US conducted in March 2011 asked ‘‘Do you favor or oppose ‘sin taxes’ on soda and junk food?” The proportion in favor of taxing these foods was 32%. If we want a margin of error of only1% (with 99% confidence), what sample size is needed? Round your answer up to the nearest integer.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT