(1 point) In January, 2011, The Marist Poll published a report
stating that 66% of adults nationally think licensed drivers should
be required to retake their road test once they reach 65 years of
age. It was also reported that interviews were conducted on 1,1018
American adults, and that the margin of error was 3% using a 95%
confidence level. Based on this information, choose the correct
statements below.
(a) Verify the margin of error reported by The Marist Poll by
identifying the correct formula to use.
(b) Based on a 95%95% confidence interval, does the poll provide
convincing evidence that more than 70%70% of the population think
that licensed drivers should be required to retake their road test
once they turn 65?
NOTE: your responses will not be shown after submission, because
these are True/False problems, and we don't want you guessing.
a) Choose the correct statement:
Use ?̂p^ in the formula:.
??=?∗?̂(1−?̂)?‾‾‾‾‾‾√ME=z∗p^(1−p^)n
Use ?p in the formula:.
??=?∗?(1−?)?‾‾‾‾‾‾√ME=z∗p(1−p)n
b) Choose the correct statement:
Yes. Yes, it does provide convincing evidence
because it is only 95%95% confident
No. No, it does not provide convincing evidence
because the margin of error is too small for 70%70% to fit
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