Section 3.2: Understanding and Interpreting Confidence IntervalsExample 1: Adopting a Child in the USA survey of 1,000 American adults conducted in January 2013 stated that “44% say it’s too hard to adopt a child in the US.” The survey goes on to say that “The margin of sampling error is +/- 3 percentage points with a 95% level of confidence.”a). What is the relevant sample statistic? Give appropriate notation and the value of the statistic.
b). What population parameter are we estimating with this sample statistic?
c). Use the margin of error to give a confidence interval for the estimate.
d). Is 0.42 a plausible value of the population proportion? Is 0.50 a plausible value?