Question

In: Statistics and Probability

You want to obtain a sample to estimate a population proportion. At this point in time,...

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 90% confident that you estimate is within 4% of the true population proportion. How large of a sample size is required? n= ____

Solutions

Expert Solution

Solution :

Given that,

= 0.5

1 - = 0.5

margin of error = E = 4% = 0.04

At 90% confidence level

= 1 - 90%  

= 1 - 0.90 =0.10

/2 = 0.05

Z/2 = Z0.05 = 1.645 ( Using z table )

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

= (1.645 / 0.04)2 * 0.5 * 0.5

=422.816

Sample size = 423


Related Solutions

You want to obtain a sample to estimate a population proportion. At this point in time,...
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 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?
You want to obtain a sample to estimate a population proportion. At this point in time,...
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 98% confident that you estimate is within 3% of the true population proportion. How large of a sample size is required? Do not round mid-calculation. n =
You want to obtain a sample to estimate a population proportion. At this point in time,...
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 90% confident that you estimate is within 3.5% of the true population proportion. How large of a sample size is required?
You want to obtain a sample to estimate a population proportion. At this point in time,...
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 99% confident that you esimate is within 5% of the true population proportion. How large of a sample size is required? n = ?
-You want to obtain a sample to estimate a population proportion. At this point in time,...
-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 2.5% 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. -You want to obtain a sample to estimate a population proportion. Based on...
1. You want to obtain a sample to estimate a population proportion. At this point in...
1. You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 95% confident that you estimate is within 1% of the true population proportion. How large of a sample size is required? n = 2.Based on historical data in Oxnard college, we believe that 38% of freshmen do not visit their counselors regularly. For this year, you would like...
1. You want to obtain a sample to estimate a population proportion. At this point in...
1. You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 95% confident that you estimate is within 3% of the true population proportion. How large of a sample size is required? 2. A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 8% margin...
1, You want to obtain a sample to estimate a population proportion. At this point in...
1, 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, so we assume p=.5. You would like to be 99% confident that you esimate is within 4% of the true population proportion. How large of a sample size is required? n = Hint: Shouldn't the answer be a WHOLE NUMBER. Do not round mid-calculation. However, use a critical value accurate to three decimal places....
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 99.9% confident that you esimate is within 1.5% of the true population proportion. How large of a sample size is required? n = QUESTION PART B: If n = 300 and ˆp (p-hat) = 0.3, construct a 90% confidence interval. Give your answers to three decimals _____<...
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∗=84%p∗=84%. You would like to be 95% confident that your esimate is within 3% of the true population proportion. How large of a sample size is required?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT