You want to determine if a coin is biased in favor of falling heads up or tails up.
(a) You flip the coin three times and obtain three heads. What should you decide?
(b) Why is the informal experiment in part (a) badly designed?
(c) Which error is more likely to result from the experiment in part (a), Type I or Type II?
(d) Suppose you flip the coin six times and obtain six heads. What should you decide?
(e) What is used to reach a decision in part (a) and part (d)?
