1, You want to obtain a sample to estimate a populationproportion. At this point in time, you have no reasonable estimatefor the population proportion, so we assume p=.5. You would like tobe 99% confident that you esimate is within 4% of the truepopulation proportion. How large of a sample size isrequired?
n =
Hint: Shouldn't the answer be a WHOLE NUMBER.
Do not round mid-calculation. However, use a critical valueaccurate to three decimal places.
2. You want to obtain a sample to estimate a populationproportion. Based on previous evidence, you believe the populationproportion is approximately 84%. You would like to be 98% confidentthat your estimate is within 3.5% of the true populationproportion. How large of a sample size is required?
n =
3. A political candidate has asked you to conduct a poll todetermine what percentage of people support her, assume p=.5.
If the candidate only wants a 2% margin of error at a 99%confidence level, what size of sample is needed?
4. If n = 540 and ˆp (p-hat) = 0.35, construct a 99% confidenceinterval.
Give your answers to three decimals
< p <
