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A random sample of 1,000 adult U.S. citizens were surveyed; 210 of them indicated that playing the lottery would be the most practical way for them to accumulate $200,000 in net wealth in their lifetime.A journalist reporting this story asks one of their statistician friends if this survey provides convincing evidence that more than 20% of adult U.S. citizens believe that playing the lottery is the best strategy for accumulating such wealth.
This particular statistician isn't a helpful person, generally. They reply, "A hypothesis test of a proportion gives the p-value 0.215."
a. What does the p-value mean in context?
b. What conclusion should the journalist report?
c. If the sample data led to an incorrect conclusion, which type of error occurred?
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