Final answer:
To find the margin of error for the 95% confidence interval used to estimate the population proportion, use the formula: margin of error = critical value * standard error. Calculate the critical value using a table or calculator, calculate the standard error using the formula: standard error = sqrt((p_hat * (1 - p_hat)) / n), and multiply the critical value by the standard error to find the margin of error.
Step-by-step explanation:
To find the margin of error for the 95% confidence interval used to estimate the population proportion, we can use the formula:
margin of error = critical value * standard error
First, we need to find the critical value for a 95% confidence interval, which can be found using a table or calculator. The critical value for a 95% confidence interval is approximately 1.96.
Next, we need to calculate the standard error using the formula:
standard error = sqrt((p_hat * (1 - p_hat)) / n)
where p_hat is the sample proportion (110/163) and n is the sample size (163).
Finally, we can calculate the margin of error by multiplying the critical value by the standard error.