In a recent poll of a random sample of 1100 U.S. adults, 51% were classified as...
In a recent poll of a random sample of 1100 U.S. adults, 51% were classified as ‘struggling.’Suppose we focus on the proportion of struggling.
(a) What is the parameter being estimated? (Define it in terms of the story, and also give its symbol).
(b) What is the point estimate, based on the study? (Give the value and the symbol).
(c) Produce a 95% confidence interval for the unknown parameter, based on the study. Show work.
(d) The formula you used in part c relies on a certain distribution being approximately Normal. Show why this assumption is valid in this case.
(e) The formula you used in part c also relies on independent outcomes. Why is this assumption valid in this case?
(f) In 2018, a similarly conducted study with a similar sample size gave 49% classified as ‘struggling.’ Is there sufficient evidence that the proportion of adults classified as ‘struggling’ has increased from 2018? Briefly justify.
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