What percentage of U.S. adults have attended a baseball game in a major league stadium? The HBO Real Sports/Marist Poll recently surveyed a random sample of 1093 U.S. adults. Of the selected adults, 479/1093 = 44% said they had attended a baseball game in a major league stadium. The standard error for this estimate is 1.5%.

1. Interpret this value.
2. Calculate and interpret the margin of error.
3. Calculate and interpret a 95% confidence interval for all adults who have attended a baseball game in a major league stadium. In the 2009 regular season, catcher Joe Mauer of the MInnesota Twins had 191 hits in 523 at-bats.
4. What was Mauer's batting average (proportion of hits) in the 2009 season? (Hint this ispwhen you find the confidence interval.)
5. Calculate and interpret a 95% confidence interval for Mauer's ability to get a hit in the 2009 regular season.
6. Does the interval give convincing evidence that Mauer's ability to get a hit in 2009 is greater than 0.300?Explain.