10.66 We Love Football! A Recent Gallup Poll Conducted Telephone Interviews With A Ran- Dom Sample Of Adults Aged 18 And Older. Data Were Obtained For 1000 People. Of These, 37% Said That Football Is Their Favorite Sport To Watch On Television. (A) Explain To Someone Who Knows No Statistics Why We Can't Just Say That 37% Of Adults Would Say That Football Is

 

10.66 We love football! A recent Gallup Poll conducted telephone interviews with a ran- dom sample of adults aged 18 and older. Data were obtained for 1000 people. Of these, 37% said that football is their favorite sport to watch on television. (a) Explain to someone who knows no statistics why we can't just say that 37% of adults would say that football is their favorite sport to watch on television. (b) Construct and interpret a 95% confidence interval for the population proportion p. (c) The poll announced a margin of error of 3 percentage points. Do you agree? (d) This poll was taken in December, an exciting part of the football season. Do you think a similar poll conducted in June might produce different results? Explain why or why not.