A recent study examined hearing loss data for 1507 U. S. teenagers. In this sample, 301 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: π = 0.20 Alternative: π ≠ 0.20

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.
The 95% confidence interval is to .

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.
Margin of error =

the absolute tolerance is +/-0.0005

Based on your confidence interval, 0.20 is a plausible value for the proportion of the population that has some hearing loss.

a. True
b. False

Based on your p-value, 0.20 is a plausible value for the proportion of the population that has some hearing loss.

a. True
b. False