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...

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 lower in your community?

Suppose that we select a random sample of 100 young women in your community. We can use a normal model for the sampling distribution because the conditions are met. We expect 26 of the 100 to be infected with at least one of the most common STDs and 74 to not be infected. So we can find the Z-score and use the applet to assess the evidence provided by the data. (The standard error is about 0.044.) Here is a link to the applet.

Suppose that in a random sample of 100 young women in your community, 20% are infected with at least one of the most common STDs

True or false? We can conclude that the percentage of all young women in your community who are infected with at least one of the most common STDs is less than 26%.