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Interpreting the power of a statistical test

In a clinical trial of a drug intended to help people stop​ smoking, 128 subjects were treated with the drug for 11 ​weeks, and 19 subjects experienced abdominal pain. If someone claims that more than 8​% of the​ drug's users experience abdominal​ pain, that claim is supported with a hypothesis test conducted with a 0.05 significance level. Using 0.17 as an alternative value of​ p, the power of the test is 0.95

Interpret this value of the power of the test.

The power of 0.95 shows that there is a 95​% chance of rejecting the null hypothesis of p equals 0.08 when the true proportion is actually 0.17. 
That​ is, if the proportion of users who experience abdominal pain is actually 0.17
​,then there is a 95​% chance of supporting the claim that the proportion of users who experience abdominal pain is greater than 0.08.

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