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PTC is a substance that has a strong bitter taste for some people and is tasteless...

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 90 % confidence?

________(Give your answers as a whole number.)

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Answer #1

Sample size = Z2​​​​​​/2 * p ( 1 - p) / E2

= 1.64492 * 0.75 * ( 1 - 0.75) / 0.062

= 140.9

Sample size = 141 (Rounded up to nearest integer)

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