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? asked in Science & MathematicsMathematics · 9 years ago

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

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  • 9 years ago
    Favorite 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.
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