# Critical Thinking. In Exercises 17–28, use the data and confidence level to construct a confidence interval estimate of p, then address the given question.Births A random sample of 860 births in New York State included 426 boys. Construct a 95% confidence interval estimate of the proportion of boys in all births. It is believed that among all births, the proportion of boys is 0.512. Do these sample results provide strong evidence against that belief?

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Critical Thinking. In Exercises 17–28, use the data and confidence level to construct a confidence interval estimate of p, then address the given question.

Births A random sample of 860 births in New York State included 426 boys. Construct a 95% confidence interval estimate of the proportion of boys in all births. It is believed that among all births, the proportion of boys is 0.512. Do these sample results provide strong evidence against that belief?

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Step 1

The formula for point estimate is,

Step 2

Critical value:

For 95% confidence level,

Step 3

Use Table of the standard normal distribution to find z score.

Procedure:

• Locate the area of 0.975 in the body of the table.
• Move left until the first column and note the value as 1.9.
• Move upward until ...

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