You want to obtain a sample to estimate a population proportion.
Based on previous evidence, you believe the population proportion
is approximately 17%. You would like to be 99% confident that your
estimate is within 1% of the true population proportion. How large
of a sample size is required?
n =
Solution :
Given that,
= 0.17
1 - = 1 - 0.17 = 0.83
margin of error = E =1 % = 0.01
At 99% confidence level the z is,
= 1 - 99%
= 1 - 0.99 = 0.01
/2 = 0.005
Z/2 = 2.58 ( Using z table ( see the 0.005 value in standard normal (z) table corresponding z value is 2.58 )
Sample size = n = (Z/2 / E)2 * * (1 - )
= (2.58 / 0.01)2 * 0.17 * 0.83
=9392.18
Sample size = 9392
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 35%. You would like to be 99% confident that your estimate is within 1% 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. Based on previous evidence, you believe the population proportion is approximately p∗=16%p∗=16%. You would like to be 99% confident that your estimate is within 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 believe the population proportion is approximately 69%. You would like to be 99% confident that your estimate is within 1.5% of the true population proportion. How large of a sample size is required? Hint: Textbook Video [+]
You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p = 0.78. You would like to be 99% confident that your esimate is within 4% 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 believe the population proportion is approximately p = 72%. You would like to be 99% confident that your esimate is within 5% of the true population proportion. How large of a sample size is required? n= Do not round mid-calculation. Use a critical value accurate to three decimal places.
You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p = 0.15. You would like to be 98% confident that your esimate is within 2.5% of the true population proportion. How large of a sample size is required? Hint: Video [+] n =
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 96% confident that your esimate is within 4% of the true population proportion. How large of a sample size is required? Hint: Video [+] n-
You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p = 0.65. You would like to be 90% confident that your estimate is within 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 believe the population proportion is approximately p = 0.11. 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? _____
You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p 0.35. You would like to be 96% confident that your esimate is within 2% of the true population proportion. How large of a sample size is required? Hint: Shouldn't the answer be a WHOLE NUMBER n=2390.171