Question

1) A coin is tossed 1000 times and 570 heads appear. At α = 0.05, test the claim that this is not a biased coin.

2) According to a prestigious historical society, in 1999, 7.2% of recent high school graduates believe that the
Romans invented mayonnaise. A classics scholar believes that the percentage has increased since then. He
randomly selects 125 recent high school graduates and finds that 17 of them believe in the Roman invention of
mayonnaise. Test this researcher's claim at the α = 0.01 level of significance.

Answer 1