Out of 400 people sampled, 68 had kids. Based on this, construct a 99% confidence interval for the true population proportion of people with kids. Give your answers as decimals, to three places

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Out of 400 people sampled, 68 had kids. Based on this, construct a 99% confidence interval for the true population proportion of people with kids.

Give your answers as decimals, to three places

Expert Solution
Step 1

Solution:

Let X be the number of people had kids and n be the number of people sampled.

From the given information, X=68 and n=400.

The sample proportion is

Statistics homework question answer, step 1, image 1

Step 2

The confidence level is 0.99.

Statistics homework question answer, step 2, image 1

Then, the critical value is

Statistics homework question answer, step 2, image 2

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