In a clinical trial of a drug intended to help people stop smoking, 126 subjects were treated with the drug for 13 weeks, and
15 subjects experienced abdominal pain. If someone claims that more than 8% of the drug users experience abdominal pain, that claim is supported with a hypothesis test conducted with a 0.05 significance level. Using 0.19 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 ....% chance of rejecting the ▼ null alternative hypothesis of p
enter your response here when the true proportion is actually
enter your response here. That is, if the proportion of users who experience abdominal pain is actually
enter your response here, then there is a
enter your response here% chance of supporting the claim that the proportion of users who experience abdominal pain is ▼ less greater than 0.08.
The answer to the question has to be filled into the blank as
The power of 0.95 shows that there is a 95% chance of rejecting the null hypothesis if p = 0.08 when the true proportion is actually 0.15. That is, if the proportion of users who experience abdominal pain is actually 0.15. then there is a 95% chance of supporting the claim that the proportion of users who experience abdominal pain is greater than 0.08
<h3>What does the power of a statistical test mean?</h3>
This is described as the likelihood of the test correctly rejecting the null hypothesis on the basis that the alternative hypothesis is correct.
This question requires us to fill in the blank with the details that we have been given.