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A national survey of 250 adults was conducted, and it concluded that 58% of that sample believe that big-time college sports programs corrupt the process of higher education.

What is the margin of error of the 99% confidence interval for the population proportion? (Use appropriate tables to find critical values.)

Answer :

Final answer:

To find the margin of error for the 99% confidence interval, calculate the critical value and plug it into the formula Margin of error = Critical value * Standard error.

Explanation:

To find the margin of error for the 99% confidence interval, we need to calculate the critical value. The critical value can be found using appropriate tables for the normal distribution or using a statistical calculator.

Once we have the critical value, we can calculate the margin of error using the formula:

Margin of error = Critical value * Standard error

In this case, since the sample proportion is 58% and the sample size is 250, the standard error can be calculated as:

Standard error = square root( (58% * (1 - 58%)) / 250 )

Finally, plug in the values and calculate the margin of error.

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