MathCastle
StatisticsHardHypothesis Tests

Hypothesis Tests · Hard problem

A coin is tossed 400400 times to test H0H_0: p=0.5p = 0.5 against HaH_a: p≠0.5p \ne 0.5 at α=0.05\alpha = 0.05 (z∗=1.96z^* = 1.96), using the zz statistic for p^\hat p. What is the smallest number of heads ABOVE 200200 that leads to rejecting H0H_0?