SOLUTION: the proportion of students in private schools is around 11%. A random sample of 450 students from a wide geographic area indicated that 55 attended private schools. Estimate the tr

Question 311221: the proportion of students in private schools is around 11%. A random sample of 450 students from a wide geographic area indicated that 55 attended private schools. Estimate the true proportion of students attending private schools with 95% confidence. How does your estimate compare to 11%?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the proportion of students in private schools is around 11%. A random sample of 450 students from a wide geographic area indicated that 55 attended private schools. Estimate the true proportion of students attending private schools with 95% confidence. ---
p-hat = 55/450 = 0.1222
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E = 1.96*sqrt[0.11*0.89/450] = 0.0288
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95% CI: 0.1222- 0.0288 < p < 0.1222+ 0.0288
95% CI: 0.934 < p < 0.1510
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How does your estimate compare to 11%?
The confidence inteval contains 11%
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Cheers,
Stan H.
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