A new energy drink is being tested for its effect on alertness. In a study, $160$ participants consumed the drink, and $28$ reported increased alertness. Someone claims that more than $12\%$ of users experience increased alertness. A hypothesis test is run at a $0.05$ significance level. If the true proportion of users experiencing increased alertness is $0.20$, and the power of the test is $0.90$, how should this power be interpreted?

• A. There is a $10\%$ chance the test will correctly reject the null hypothesis if the true rate is $12\%$.
• B. There is a $90\%$ chance the test will correctly reject the null hypothesis if the true alertness rate is $20\%$.
• C. There is a $90\%$ chance the null hypothesis is true.
• D. There is a $20\%$ chance the test will reject the null hypothesis if the true rate is $12\%$.

Answer: (B)