Recently, the number of children Americans have has dropped. The Gallup Poll organization wanted to know whether this was a change in attitude or possibly a result of the recession, so they asked Americans whether they have children, dont have children but wish to, or dont want children. Out of a random sample of 1200 American adults in 2013, 1140 said that they either have children or want/wish to.(a) Suppose the margin of error in the confidence interval above were 0.02. What would that represent? (b) If the margin of error were 0.02, the 95% confidence interval would be (0.93, 0.97). How would we interpret this interval in context? (c) In 1990, 94% of all Americans either had children or wanted children. Has the proportion of all Americans who have or wish they had children changed since then? (Use the confidence interval (0.93, 0.97) for simplicity.) Why or why not?
Recently, the number of children Americans have has dropped. The Gallup Poll organization wanted to know whether this was a change in attitude or possibly a result of the recession, so they asked Americans whether they have children, dont have children but wish to, or dont want children. Out of a random sample of 1200 American adults in 2013, 1140 said that they either have children or want/wish to.
(a) Suppose the margin of error in the confidence interval above were 0.02. What would that represent?
(b) If the margin of error were 0.02, the 95% confidence interval would be (0.93, 0.97). How would we interpret this interval in context?
(c) In 1990, 94% of all Americans either had children or wanted children. Has the proportion of all Americans who have or wish they had children changed since then? (Use the confidence interval (0.93, 0.97) for simplicity.) Why or why not?
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