A 2011 study reported that the proportion of women in the Southern US who experienced early menopause (menopause before age 43) was significantly different from the proportion in the Northeast: 18.9% in the South compared to 12.3% in the Northeast.

Another group of researchers wants to explore regional differences in age at early menopause ten years later since overall age at menopause appears to be increasing among US women. How many women from the South and Northeast, respectively, must the researchers include generating a 95% confidence interval for the difference in proportions with a margin of error not exceeding 5%? Provide the sample size for each group and assume that there are no losses to follow-up in this study?

Please Provide the sample size for each group and assume that there are no losses to follow-up in this study.

Answer key: is 402 participants in each group (Northeast and South respectively) to generate a 95% confidence interval for the difference in proportions with a margin of error less than 5% assuming there are no losses to follow-up. I need help with the whole process