(20.08) PTC is a substance that has a strong bitter taste for some people and is

Question

(20.08) PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC is inherited. About 75% of Italians can taste PTC, for example. You want to estimate the proportion of Americans with at least one Italian grandparent who can taste PTC.

Starting with the 75% estimate for Italians, how large a sample must you collect in order to estimate the proportion of PTC tasters within ±0.06 with 95 % confidence? (Give your answers as a whole number.)

Explanation / Answer

here p=0.75

margin of error E=0.06

for 95% CI, z=1.96

hence sample size =p(1-p)*(Z/E)2 =201

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