A newly discovered vaccine is found to generate immune response in some of the patients during lab tests while fails to produce any anti-bodies in others. It is extremely important to find out in what percentage of people among the general population, the vaccine is expected to produce an immune response. A trial is then proposed to be conducted among a randomly

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A newly discovered vaccine is found to generate immune response in some of the patients
during lab tests while fails to produce any anti-bodies in others. It is extremely important to
find out in what percentage of people among the general population, the vaccine is expected
to produce an immune response. A trial is then proposed to be conducted among a randomly
chosen sample from the population and finding out the proportion that develops an immune
response. In order to extrapolate the propostion that develops the anto-bodies to the whole
population, with a margin or error of only 2%, and a confidence level of 95% what sample
size would be required for this study? What if we want to increase the confidence level to
98%? What if the margin of error is allowed to be 5% but confidence level is kept at 99%?
Transcribed Image Text:A newly discovered vaccine is found to generate immune response in some of the patients during lab tests while fails to produce any anti-bodies in others. It is extremely important to find out in what percentage of people among the general population, the vaccine is expected to produce an immune response. A trial is then proposed to be conducted among a randomly chosen sample from the population and finding out the proportion that develops an immune response. In order to extrapolate the propostion that develops the anto-bodies to the whole population, with a margin or error of only 2%, and a confidence level of 95% what sample size would be required for this study? What if we want to increase the confidence level to 98%? What if the margin of error is allowed to be 5% but confidence level is kept at 99%?
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