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 525 randomly selected Americans surveyed, 350 were in favor of the initiative. Round answers to 2 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 525 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.

Which of the following is the correct interpretation of a 90% confidence interval of a proportion? A Ninety out of 100 sample proportions will fall within the limits of the confidence interval. B There is a 0.10 probability that the population proportion falls within the limits of the confidence interval. Ninety out of 100 confidence intervals will contain the population proportion. Ninety percent of the population proportions will fall within the limits of the confidence interval.

A psychologist is interested in constructing a 95% confidence interval for the proportion of people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain. 74 of the 815 randomly selected people who were surveyed agreed with this theory. Round answers to 4 decimal places where possible. a.  With 95% confidence the proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain is between_____and _____ . b.  If many groups of 815 randomly selected people are 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 all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain and about ______percent will not contain the true population proportion.

Out of 187187 randomly selected adults in the United States who were surveyed, 7171 exercise on a regular basis. Construct a 98%98% confidence interval for the proportion of all adults in the United States who exercise on a regular basis. Round to three decimal places.  We can be 98%98% confident that the proportion of all adults in the United States who exercise on a regular basis is _____________________.