A recent study examined hearing loss data for 1666 U.S. teenagers. In this sample, 307 were found to have some level of hearing loss. News of this study spread quickly, with many news articles blaming the prevalence of hearing loss on the higher use of ear buds by teens. At MSNBC.com (8/17/2010), Carla Johnson summarized the study with the headline: "1 in 5 U.S. teens has hearing loss, study says." To investigate whether this is an appropriate or a misleading headline, you will conduct a test of significance with the following hypotheses:

Null: = 0.20 Alternative: 0.20

Use the Theory-Based Inference applet to determine ap-value.Round your answer to 4 decimal places, e.g. 0.7534.

Using the applet, find a 95% confidence interval for the proportion of U.S. teens that have some hearing loss.Round your answer to 4 decimal places, e.g. 0.7534.

What is the margin of error for your confidence interval from part (d) of this question?Round your answer to 4 decimal places, e.g. 0.7534.