In 2012, the Humane Society reported
that 30.4% of all U.S. households own at least one cat. Assuming these
results came from a survey conducted among 10,000 U.S. households, what
is the 90% confidence interval that estimates the population proportion
of U.S. households that own at least one cat? Include a short paragraph
stating succinctly, what this confidence interval means. Show all work.
The same report listed the mean annual veterinary cost per household
(of those owning at least one cat) as being $191 with a standard
deviation of $13.50. Assume that these figures came from a sample of
5000 U.S. households with at least one cat.
a. Find a 98% confidence interval for the actual annual mean veterinary
cost among U.S. households with at least one cat. (Show all work and
provide detail for technology use).
b. If a household reported annual veterinary costs of $198.50, would
that be considered unusual? Support your answer with data.
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