Shortly before April15 of the previous year, a team of sociologists conducted a survey to study their theory that tax cheaters tend to allay their guilt by holding certain beliefs. The team interviewed a total of 500 adults and asked them under what situations they think cheating on an income tax return is justified. The responses include:
56% agree that “other people don’t report all their income.”
50% agree that “the government is often careless with tax dollars.”
46% agree that “cheating can be overlooked if one is generally law abiding.”
Assuming that the data are a simple random sample of the population of taxpayers (or taxnonpayers), calculate 95% confidence intervals for the population proportion that agrees with each statement.
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