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A sample of 600 nursing applications included 110 from men. Find the 90%confidence interval of the...

A sample of 600 nursing applications included 110 from men. Find the 90%confidence interval of the true proportion of men who applied to the nursing program.Write a conclusion for the confidence interval.Round to 3 decimal places.

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Answer #1

Given a sample of N = 600 nursing applications included X = 110 from men. Hence the sample proportion is calculated as:

Now the confidence interval is calculated as:

Where Zc is critical score calculated using the excel formula at 90 % confidence level, the formula is =NORM.S.INV(0.95), thus the Zc is computed as 1.645.

Now the confidence interval for population proportion is calculated as:

Conclusion:

We can 90% confident that the confidence interval for population proportion of men who applied for nursing application is between 0.157 and 0.209.

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