Question

If n = 320 and ˆpp^ (p-hat) = 0.05, construct a 90% confidence
interval.

Give your answers to three decimals

_< p >_

Answer #1

Solution :

Given that,

Point estimate = sample proportion = = 0.05

Z_{/2}
= 1.3645

Margin of error = E = Z_{
/ 2} *
((
* (1 -
)) / n)

= 1.645 * (((0.05 * 0.95) / 320)

= 0.020

A 90% confidence interval for population proportion p is ,

- E < p < + E

0.05 - 0.020 < p < 0.05 + 0.020

0.030 < p < 0.070

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