Chapter 03.2 Exercise Question 10

A recent study examined hearing loss data for 1769 U.S. teenagers. In this sample, 331 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.

the absolute tolerance is +/-0.0002

Based on your p-value, there is strong evidence that the proportion of all U.S. teens with some hearing loss is different than 1 in 5 (or 20%).

True

False

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 isa plausible value for the proportion of the population that has some hearing loss.

True

False

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

True

False