In: Statistics and Probability
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
1. Use the Theory-Based Inference applet to determine a p-value. Round your answer to 4 decimal places, e.g. 0.7534.
2. 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.
3. 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.