A coin was flipped 12 times and came up heads 10 times.
(a) Would we be justified in assuming that the sample proportion p is normally distributed? Explain.
(b) Calculate a p-value for the observed sample outcome, using the normal distribution. At the .05 level of significance in a right-tailed test, is the coin biased toward heads?
(c) Use Excel to calculate the binomial probability P(X ≥ 10 | n = 12, π = .50) = 1 – P(X ≤ 9 | n = 12, π = .50).