MathCastle
StatisticsChallengeHypothesis Tests

Hypothesis Tests · Challenge problem

A coin is tossed 1010 times to test H0H_0: p=12p = \frac12 against HaH_a: p>12p > \frac12; the rule is to reject when there are at least 88 heads. If the coin actually has p=0.7p = 0.7, what is the power of this test? Give the answer to four decimal places.