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A poll taken this year asked 1006 adults whether they were fans of a particular sport...

A poll taken this year asked 1006 adults whether they were fans of a particular sport and 39 ​% said they were. Last​ year, 44 ​% of a​ similar-size sample had reported being fans of the sport. Complete parts a through e below

a) Find the margin of error for the poll taken this year if one wants 95​% confidence in the estimate of the percentage of adults who are fans of the sport.

b) Explain what that margin of error means.

c) If one wanted to be 99​%confident instead of 95% confident, would the margin of error be larger or​ smaller?

d) Find the margin of error for the poll taken this year if one wants 99% confidence in the estimate of the percent of adults who are fans of the sport.

​e) In​ general, if all other aspects of the situation remain the​ same, will smaller margins of error produce greater or less confidence in the​ interval?

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