12.39 President's Job Rating. The headline read "President's Job Ratings Fall to Lowest Point of His Presidency." A Harris Poll taken April 5-10, 2005, of 1010 U.S. adults found that 444 of them approved of the way that President George W. Bush was doing his job. Find and interpret a 95% confidence interval for the proportion of all U.S. adults who, at the time, approved of President Bush.
12.40 Major Hurricanes. A major hurricane is a category 3, 4, or 5 hurricane on the Saffir/Simpson Hurricane Scale. From the document "The Deadliest, Costliest, and Most Intense United States Tropical Cyclones From 1851 to 2004" (NOAA Technical Memorandum, NWS TPC-4, Updated 2005) by E. Blake et al., we found that of the 273 hurricanes affecting the continental United States, 92 were major.
a. Based on these data, find and interpret a 90% confidence interval for the probability, p, that a hurricane affecting the continental United States will be a major hurricane.
b. Discuss the possible problems with this analysis.
