(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 ±0.08 with 95 % confidence? (Give your answers as a whole number.)

Explanation / Answer

p = 0.75

q = 0.25

alpha / 2 = 0.025 Z= 1.96 from tables

error = 0.08

N = ( 1.96 ^2 * 0.75 * 0.25 ) / 0.08^2

N = 112.54

N = 113

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