STD study: A 2008 CDC study estimated that 26% of young women between the ages of 14 and 19 in the U.S. were infected with at least one of the most common sexually transmitted diseases (human papillomavirus [HPV]), chlamydia, herpes simplex virus, and trichomoniasis). Is the percentage higher in your community? Suppose that we plan to select a random sample of 100 young women in your community. If we use the national figure of 26%, we estimate that the standard error is about 0.04 for results from random samples of 100 young women.

When we select a random sample of 100 young women in your community, we find that 20% are infected with at least one of the most common STDs. Which gives the best interpretation of the 95% confidence interval to estimate the percentage of young women in your community who are infected with at least one of the most common STDs?

Group of answer choices

We are 95% confident that 20% of the young women in your community are infected with at least one of the most common STDs.

We are 95% confident that 16% to 24% of the young women in your community are infected with at least one of the most common STDs.

We are 95% confident that 12% to 28% of the young women in your community are infected with at least one of the most common STDs.

We are 95% confident that 18% to 34% of the young women in your community are infected with at least one of the most common STDs.