SOLUTION: Approximately 20% of U.S. residents are left-handed. If 100 residents are selected at random, would it be unusual to find that more than 30% are left-handed? Explain your reasoning

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Question 755874: Approximately 20% of U.S. residents are left-handed. If 100 residents are selected at random, would it be unusual to find that more than 30% are left-handed? Explain your reasoning and show calculations.
Answer by reviewermath(1029) About Me  (Show Source):
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Q:
Approximately 20% of U.S. residents are left-handed. If 100 residents are selected at random, would it be unusual to find that more than 30% are left-handed? Explain your reasoning and show calculations.
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A:
X~Binomial(100, 0.2)
P(X > 30) = = highlight%280.0060593%29
Since the probability is less than 0.05, then it would be unusual to find that more than 30% are left-handed.