13. Baseball fans. In a poll taken in March of 2007,

Chapter 19, Problem 13

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13. Baseball fans. In a poll taken in March of 2007, Gallupasked 1006 national adults whether they were baseballfans. 36% said they were. A year previously, 37% of asimilar-size sample had reported being baseball fans.a) Find the margin of error for the 2007 poll if we want90% confidence in our estimate of the percent ofnational adults who are baseball fans.b) Explain what that margin of error means.c) If we wanted to be 99% confident, would the marginof error be larger or smaller? Explain.d) Find that margin of error.e) In general, if all other aspects of the situation remainthe same, will smaller margins of error producegreater or less confidence in the interval?f) Do you think theres been a change from 2006 to 2007in the real proportion of national adults who are baseballfans? Explain.