A newsgroup is interested in constructing a 99% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 595 randomly selected Americans surveyed, 357 were in favor of the initiative. Round answers to 4 decimal places where possible. a. With 99% confidence the proportion of all Americans who favor the new Green initiative is between _____ and _____ . b. If many groups of 595 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.
A newsgroup is interested in constructing a 99% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 595 randomly selected Americans surveyed, 357 were in favor of the initiative. Round answers to 4 decimal places where possible.
a. With 99% confidence the proportion of all Americans who favor the new Green initiative is between _____ and _____ .
b. If many groups of 595 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.
For 95% confidence interval for population proportion, if 95% confidence intervals are calculated for many samples by using the same procedure with the same sample size then it can be said that 95% of the confidence intervals will contain the population proportion.
Also, the 99% confidence interval for the proportion proportion of Americans who are in favor of the new initiative will signify that with 99% confidence the proportion proportion of Americans who are in favor of the new initiative will lie in that interval.
Assume that the sampling distribution of sample proportion of Americans who are in favor of the new initiative follows normal distribution.
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