An experimenter flips a coin 100 times and gets 36 heads. Test the claim that the coin is fair against the two-sided claim that it is not fair at the level α = 0.01.
a) Ho: p = 0.5, Ha: p ≠ 0.5; z = -2.80; Fail to reject Ho at the 1% significance level.
b) Ho: p = 0.5, Ha: p < 0.5; z = -2.92; Reject Ho at the 1% significance level.
c) Ho: p = 0.5, Ha: p ≠ 0.5; z = -2.80; Reject Ho at the 1% significance level.
d) Ho: p = 0.5, Ha: p < 0.5; z = -2.80; Fail to reject Ho at the 1% significance level.
e) Ho: p = 0.5, Ha: p ≠ 0.5; z = -2.92; Reject Ho at the 1% significance level.