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An advertisement for a new sleep-aid pill claims that less than 20% of patients taking the pill experience any side effects. To test this claim,

  1. An advertisement for a new sleep-aid pill claims that less than 20% of patients taking the pill experience any side effects. To test this claim, a researcher conducts a study involving 585 people taking the drug and records that 19 patients experienced side effects.

Test the advertisement's claim at a 5% level of significance. [8 marks]

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