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ASAP If n=180 and p' (p-prime) = 0.2, construct a 99% confidence interval. Give your answers...

ASAP

If n=180 and p' (p-prime) = 0.2, construct a 99% confidence interval.

Give your answers to three decimals.

< p <

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution :

Given that,

Point estimate = sample proportion = = 0.2

Z/2 = 2.576

Margin of error = E = Z / 2 * (( * (1 - )) / n)

= 2.576 * (((0.2 * 0.8) / 180)

= 0.077

A 99% confidence interval for population proportion p is ,

- E < p < + E

0.2 - 0.077 < p < 0.2 + 0.077

0.123 < p < 0.277

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