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faust18 [17]
2 years ago
15

Broccoli tastes bitter to some people. This bitterness is inherited through the TAS2R38 gene. About 52% of the population has th

is gene. You want to estimate the proportion of Americans who have this gene. How large a sample must you test, with a 5% margin of error and 90% confidence, to estimate the proportion of people who carry the TAS2R38 gene?
100 people
10,000 people
271 people
37 people
514 people
Mathematics
1 answer:
Eddi Din [679]2 years ago
3 0

Answer:

271 people

Step-by-step explanation:

Margin of error = critical value × standard error

At 90% confidence, the critical value is 1.645.

Standard error for a proportion is s = √(p (1 − p) / n).

0.05 = 1.645 √(0.52 (1 − 0.52) / n)

n = 271

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