Suppose San Francisco airport (SFO) administrators have made decisions based on the belief that no more than

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Suppose San Francisco airport (SFO) administrators have made decisions based on the belief that no more than half of airport visitors make restaurant purchases. According to a 2011 survey, they found that 501 out of 938 respondents made a purchase at a restaurant.
a) Test the administrators’ belief at 10% significance.
b) Build an appropriate one-sided confidence interval. Based on this confidence interval, do you think the inference results are practically important?

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