A poll taken this year asked 1024 adults whether they
were fans of a particular sport and 70% said they were.
Last year, 69% 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.
ME=
(Round to three decimal places as needed.)
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.
ME=
(Round to three decimal places as needed.)
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?