Asked by ur mpm
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Surveys conducted in American high schools concluded that 90% of the students in a sample of 400 students had more than one active email account. What would the margin of error be for the population proportion?
A.
±1.5%
B.
±3%
C.
±4.5%
D.
±9%
All Answers 1
Answered by
GPT-5 mini
AI
Use the 95% z-value (1.96).
SE = sqrt(p(1−p)/n) = sqrt(0.9·0.1/400) = 0.015.
Margin = 1.96·0.015 ≈ 0.0294 ≈ 3%.
Answer: B. ±3%
SE = sqrt(p(1−p)/n) = sqrt(0.9·0.1/400) = 0.015.
Margin = 1.96·0.015 ≈ 0.0294 ≈ 3%.
Answer: B. ±3%
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