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We wish to estimate what percent of adult residents in a certain county are parents. Out...

We wish to estimate what percent of adult residents in a certain county are parents. Out of 600 adult residents sampled, 270 had kids. Based on this, construct a 90% confidence interval for the proportion p p of adult residents who are parents in this county.

Math   Statistics-And-Probability   
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Answer #1

Let "p" be the proportion of adult residents in a certain county are parents.

In a sample of 600 adult 270 had kids.

Therefore

The 90% confidence interval for the proportion of adults residents who are parents in this county is given by:

By using z table: z0.05=1.64

Hence 90% confidence interval is:

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