1. The ability to taste the compound phenylthiocarbamide (PTC) is a genetically
ID: 3245102 • Letter: 1
Question
1. The ability to taste the compound phenylthiocarbamide (PTC) is a genetically controlled trait in humans. In Europe and Asia, about 70% of people are “tasters”. Suppose a study is being conducted to estimate the population proportion of tasters (via a 95% confidence interval). The researchers would like to keep the margin of error for the confidence interval less than or equal to 0.01 (SE = ±0.01). What sample size the researchers should take in order to meet this criterion 1. The ability to taste the compound phenylthiocarbamide (PTC) is a genetically controlled trait in humans. In Europe and Asia, about 70% of people are “tasters”. Suppose a study is being conducted to estimate the population proportion of tasters (via a 95% confidence interval). The researchers would like to keep the margin of error for the confidence interval less than or equal to 0.01 (SE = ±0.01). What sample size the researchers should take in order to meet this criterion 1. The ability to taste the compound phenylthiocarbamide (PTC) is a genetically controlled trait in humans. In Europe and Asia, about 70% of people are “tasters”. Suppose a study is being conducted to estimate the population proportion of tasters (via a 95% confidence interval). The researchers would like to keep the margin of error for the confidence interval less than or equal to 0.01 (SE = ±0.01). What sample size the researchers should take in order to meet this criterionExplanation / Answer
standard error = sqrt( p * (1-p)/n+4)
=>
sqrt( 0.7 * (1-0.7)/n+4) = 0.01
=>
sample size n = 2096
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