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Finding probabilities with sample proportions

AP.STATS: UNC‑3 (EU), UNC‑3.M (LO), UNC‑3.M.1 (EK)
You might need: Calculator,Z table

Problem

A local agricultural cooperative claims that 55, percent of about 60, comma, 000 adults in a county believe that gardening should be part of the school curriculum. However, when you take a simple random sample of 300 of the adults in the county, only 50, percent say that they believe that gardening should be part of the school curriculum.
Assuming that the agricultural cooperative's claim is accurate, what is the approximate probability that less than 50, percent of the sample would say that they believe that gardening should be part of the school curriculum?
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