1. The ability to taste the compound phenylthiocarbamide (PTC) is a genetically
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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 criterion?Explanation / Answer
Margin of Error = 0.01
P = .7
At alpha = 0.05, z score = 1.96
Sample size(n) = [z score2 * p * (1-p)] / margin of error2
Gives n = 8067
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