Question

In: Statistics and Probability

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 61%. You would like to be 90% confident that your estimate is within 1% of the true population proportion. How large of a sample size is required? n=_____

Solutions

Expert Solution

Solution :

Given that,

= 0.61

1 - = 1 - 0.61 = 0.39

margin of error = E = 1% = 0.01

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 / 0.01)2 * 0.61 * 0.39

=6437.63

=6438 rounded


Related Solutions

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?
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 = 0.37. You would like to be 98% confident that your estimate is within 3% of the true population proportion. How large of a sample size is required?
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 ? = 80 % . You would like to be 99.9% confident that your esimate is within 2.5% of the true population proportion. How large of a sample size is required?
You want to obtain a sample to estimate a population proportion. 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 = 0.14. You would like to be 98% confident that your esimate is within 3% of the true population proportion. How large of a sample size is required? n=____
1.) You want to obtain a sample to estimate a population proportion. Based on previous evidence,...
1.) You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 74%. You would like to be 98% confident that your estimate is within 2% of the true population proportion. How large of a sample size is required? 2.) You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=70.8σ=70.8. You would like to be...
1.You want to obtain a sample to estimate a population proportion. Based on previous evidence, you...
1.You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p = 0.6. You would like to be 98% confident that your estimate is within 1.5% of the true population proportion. How large of a sample size is required? 2. You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 65%. You would like to be...
You want to obtain a sample to estimate a population mean. Based on previous evidence, you...
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ = 55.8 σ = 55.8 . You would like to be 95% confident that your estimate is within 10 of the true population mean. How large of a sample size is required?
You want to obtain a sample to estimate a population mean. Based on previous evidence, you...
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=58.2σ=58.2. You would like to be 95% confident that your estimate is within 2 of the true population mean. How large of a sample size is required? Use a z* value accurate to TWO places for this problem. (Not z = 2)
A. You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p∗=28%p∗=28%.
  A. You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p∗=28%p∗=28%. You would like to be 99.5% confident that your esimate is within 2.5% of the true population proportion. How large of a sample size is required?n =___ B. Giving a test to a group of students, the grades and gender are summarized below   A B C Total Male 17 15 16 48 Female 7...
1.We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers...
1.We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately σ=41.6. We would like to be 95% confident that the esimate is within 1.5 of the true population mean. How large of a sample size is required? n= 2.You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=73.4. You would like to be...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT