A newsgroup is interested in constructing a 95% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 602 randomly selected Americans surveyed, 366 were in favor of the initiative. Round answers to 4 decimal places where possible. a. With 95% confidence the proportion of all Americans who favor the new Green initiative is between and b. If many groups of 602 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about percent will not contain the true population proportion.

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A newsgroup is interested in constructing a 95%
confidence interval for the proportion of all
Americans who are in favor of a new Green
initiative. Of the 602 randomly selected Americans
surveyed, 366 were in favor of the initiative. Round
answers to 4 decimal places where possible.
a. With 95% confidence the proportion of all
Americans who favor the new Green initiative is
between
and
b. If many groups of 602 randomly selected
Americans were surveyed, then a different
confidence interval would be produced from each
group. About
percent of these confidence
intervals will contain the true population
proportion of Americans who favor the Green
initiative and about
percent will not
contain the true population proportion.
Transcribed Image Text:A newsgroup is interested in constructing a 95% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 602 randomly selected Americans surveyed, 366 were in favor of the initiative. Round answers to 4 decimal places where possible. a. With 95% confidence the proportion of all Americans who favor the new Green initiative is between and b. If many groups of 602 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about percent will not contain the true population proportion.
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