6. Pregnancy and HIV Testing. A study examined the proportions of pregnant women in the United States who have had an HIV test in the past 12 months.11 The proportions for the Northeast, Midwest, South, and West, resulting from four separate samples, were 56.8%, 49.3%, 58.5%, and 50.2%, respectively. Test whether the population proportions of pregnant women who have had an HIV test in the past 12 months are the same across all four regions, using level of significance . Assume that each sample size equals 1000.