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

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PTC is a substance that has a strong bitter taste for somepeople and is tasteless for others. The ability to taste PTC isinherited and depends on a single gene that codes for a tastereceptor on the tongue. Interestingly, although the PTC molecule isnot found in nature, the ability to taste it correlates stronglywith the ability to taste other naturally occurring bittersubstances, many of which are toxins. About 75%75% of Italians cantaste PTC. You want to estimate the proportion of Americans with atleast one Italian grandparent who can taste PTC.

(a) Starting with the 75%75% estimate for Italians, how large asample must you collect in order to estimate the proportion of PTCtasters within ±0.1±0.1 with 90%90% confidence? (Enter your answeras a whole number.)

(b) Estimate the sample size required if you made no assumptionsabout the value of the proportion who could taste PTC. (Enter youranswer as a whole number.)

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AnswerGiven thatPTC is a substance that has a strong bitter taste for somepeople and is tasteless for others The    See Answer
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