Texting and teens. A 2011 teen-driving study by Liberty Mutual Insurance and Students against Destructive Decisions (SADD) reports that 53% of the 2294 high school students surveyed say that they text while they drive at least sometimes, and 28% admit doing so often or very often.
(a) Construct a 90% confidence interval for the proportion of high school students who say that they text while driving at least sometimes.
(b) Construct a 90% confidence interval for the proportion of high school students who say that they text while driving often or very often.