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 98 % confidence? (Give your answers as a whole number.)

Explanation / Answer

answer

  n = (z^2)(p)(1-p)/e^2 = (2.33^2)*.75*.25/.08^2

=1.0179/0.0064

=159.0468~160

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