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A recent Gallup Poll conducted telephone interviews with a random sample of adults aged 18 and older. Data were obtained for 1000 people. Of these

A recent Gallup Poll conducted telephone interviews with a random 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?

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