The St. Lucie County Health Department needs to estimate the proportion of county residents with diabetes. A health department researcher found that 182 out of a random sample of 1562 county residents had diabetes. Determine the point estimate, p and the sample standard deviation, So. Round the sample proportion to four decimal places and round the standard deviation to six decimal places, if necessary. Sp Using a 90% confidence level, determine the margin of error,"E, and a confidence interval for the true proportion of all St. Lucie County residents who have diabetes. Report the confidence interval using interval notation. Round solutions to four decimal places, if necessary. The margin of error is given by E A 90% confidence interval is given by