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 and depends on a single gene that codes for a taste receptor on the tongue. Interestingly, although the PTC molecule is not found in nature, the ability to taste it correlates strongly with the ability to taste other naturally occurring bitter substances, many of which are toxins. About 75% of Italians can taste PTC. You want to estimate the proportion of Americans with at least one Italian grandparent who can taste PTC. 20 Starting with the 75% estimate for Italians, how large a sample must you collect in order to estimate the proportion of PTC tasters within +0.04 with 90% confidence? Give your answer rounded up to the nearest whole number. n = 51

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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 and depends on a single gene that codes for a taste receptor on the tongue. Interestingly, although the PTC molecule
is not found in nature, the ability to taste it correlates strongly with the ability to taste other naturally occurring bitter
substances, many of which are toxins. About 75% of Italians can taste PTC. You want to estimate the proportion of
Americans with at least one Italian grandparent who can taste PTC.
Estimate the sample size required if you made no assumptions about the value of the proportion who could taste PTC. Give your
answer rounded up to the nearest whole number.
n =
68
Incorrect
Transcribed Image Text: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 and depends on a single gene that codes for a taste receptor on the tongue. Interestingly, although the PTC molecule is not found in nature, the ability to taste it correlates strongly with the ability to taste other naturally occurring bitter substances, many of which are toxins. About 75% of Italians can taste PTC. You want to estimate the proportion of Americans with at least one Italian grandparent who can taste PTC. Estimate the sample size required if you made no assumptions about the value of the proportion who could taste PTC. Give your answer rounded up to the nearest whole number. n = 68 Incorrect
PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC i
inherited and depends on a single gene that codes for a taste receptor on the tongue. Interestingly, although the PTC molecule
is not found in nature, the ability to taste it correlates strongly with the ability to taste other naturally occurring bitter
substances, many of which are toxins. About 75% of Italians can taste PTC. You want to estimate the proportion of
Americans with at least one Italian grandparent who can taste PTC.
20 Starting with the 75% estimate for Italians, how large a sample must you collect in order to estimate the proportion of PTC
tasters within +0.04 with 90% confidence? Give your answer rounded up to the nearest whole number.
n =
51
Incorrect
Transcribed Image Text:PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC i inherited and depends on a single gene that codes for a taste receptor on the tongue. Interestingly, although the PTC molecule is not found in nature, the ability to taste it correlates strongly with the ability to taste other naturally occurring bitter substances, many of which are toxins. About 75% of Italians can taste PTC. You want to estimate the proportion of Americans with at least one Italian grandparent who can taste PTC. 20 Starting with the 75% estimate for Italians, how large a sample must you collect in order to estimate the proportion of PTC tasters within +0.04 with 90% confidence? Give your answer rounded up to the nearest whole number. n = 51 Incorrect
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PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC
inherited and depends on a single gene that codes for a taste receptor on the tongue. Interestingly, although the PTC molecule
is not found in nature, the ability to taste it correlates strongly with the ability to taste other naturally occurring bitter
substances, many of which are toxins. About 75% of Italians can taste PTC. You want to estimate the proportion of
Americans with at least one Italian grandparent who can taste PTC.
20 Starting with the 75% estimate for Italians, how large a sample must you collect in order to estimate the proportion of PTC
tasters within +0.04 with 90% confidence? Give your answer rounded up to the nearest whole number.
n =
1
Transcribed Image Text:PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC inherited and depends on a single gene that codes for a taste receptor on the tongue. Interestingly, although the PTC molecule is not found in nature, the ability to taste it correlates strongly with the ability to taste other naturally occurring bitter substances, many of which are toxins. About 75% of Italians can taste PTC. You want to estimate the proportion of Americans with at least one Italian grandparent who can taste PTC. 20 Starting with the 75% estimate for Italians, how large a sample must you collect in order to estimate the proportion of PTC tasters within +0.04 with 90% confidence? Give your answer rounded up to the nearest whole number. n = 1
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