Which of the following correctly calculates the margin of error of population mean estimate if the sample size is 1,503, the confidence level is 98%, and the standard deviation is 0.5?(1 point) Responses 0.025 0.025 0.028 0.028 0.04 0.04 0.03

1 answer

The correct margin of error calculation is 0.025.

To calculate the margin of error for a population mean estimate, you can use the formula:

Margin of Error = z * (standard deviation / sqrt(sample size))

Where z is the critical value for the desired confidence level.

For a 98% confidence level, the critical value is 2.33.

Plugging in the values:
Margin of Error = 2.33 * (0.5 / sqrt(1503))
Margin of Error = 2.33 * (0.5 / 38.75)
Margin of Error = 2.33 * 0.0129
Margin of Error = 0.025

Therefore, the correct calculation for the margin of error is 0.025.