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Math: Confidence Intervals, someone please hellpp ?
In a survey of a random sample of 1000 teenagers in Nanaimo, B.C., it was found that 125 of these teenagers had never travelled outside of their own province. Construct a 95% confidence interval for this data.
-111.2 to 137.2
-104.502 to 145.498
-87.502 to 145.534
-98.487 to 151.673
1 Answer
- GuillermoLv 79 years agoFavorite Answer
n = 1000
phat = 125/1000 = 0.125
q = 1 - 0.125 = 0.875
sqrt(0.125*0.875/1000) = 0.01045825033
P(0.125 - 1.96*0.01045825033 < π < 0.125 + 1.96*0.01045825033) = 0.95
P(0.1045 < π < 0.1455) = 0.95, answer!
Source(s): Standardized Normal Distribution.