3.25 Polling women. A New York Times Poll on women’s issues interviewed 1025 women randomly selected from the United States, excluding Alaska and Hawaii. The poll found that 47% of the women said they do not get enough time for themselves.
(a) The poll announced a margin of error of ±3 percentage points for 95% confidence in its conclusions. Make a 95% confidence statement about the percentage of all adult women who think they do not get enough time for themselves.
(b) Explain to someone who knows no statistics why we can’t just say that 47% of all adult women do not get enough time for themselves.
(c) Then explain clearly what “95% confidence” means.