More single moms In Exercise 4, we saw that 4% of people think the trend of more single women having children is a “good thing.”
a) Are the conditions for constructing a confidence interval met?
b) How many people would need to be surveyed for a 95% confidence interval to ensure the margin of error would be less than 3%? (Hint: Don’t use pn = 0.5.)
4. Single moms In a 2010 Pew Research study on trends in marriage and family, 4% of randomly selected respondents said that the trend of more single women having children is “a good thing.” The 95% confidence interval is from 2.9% to 5.1% (n = 1229).
a) Interpret this interval in this context.
b) Explain the meaning of “95% confident” in this context.
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