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Cilantro tastes like soap to some people. This soap taste is inherited through the olfactory receptor...

Cilantro tastes like soap to some people. This soap taste is inherited through the olfactory receptor gene OR6A2. About 14% of the population has this gene. You want to estimate the proportion of Americans who have this gene. How large a sample must you test, with a 3% margin of error and 95% confidence, to estimate the proportion of people who carry the OR6A2 gene

math   Statistics-And-Probability   
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Answer #1

The margin of error for proportions is given by

​​​​​​

Here moe=3%=0.03, p=14%=0.14 and confidence level is 95% so

Use in above we get

So the sample size must be 514

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