In: Statistics and Probability
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 596 randomly selected Americans surveyed, 394 were in favor of the initiative. a. With 99% confidence the proportion of all Americans who favor the new Green initiative is between and . b. If many groups of 596 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.
b)
If many groups of 596 randomly selected American were surveyed, then a different confidence interval would be produced from each group. About 99 percent of these confidence intervals will contain the true population proportion of Americans who favour the Green initiative and about 1 percent will not contain the true population proportion.
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