Step 1 :Given that the mean systolic blood pressure of adults in the USA is \(121\) and the standard deviation is \(18\).
Step 2 :We are asked to find the percentage of adults with a systolic blood pressure of \(160\) or higher, which qualifies as Stage 2 high blood pressure.
Step 3 :We can solve this problem using the concept of Z-score in statistics. The Z-score is a measure of how many standard deviations an element is from the mean.
Step 4 :First, we calculate the Z-score for a blood pressure of \(160\) using the formula \(Z = \frac{X - \mu}{\sigma}\), where \(X\) is the value we are interested in, \(\mu\) is the mean, and \(\sigma\) is the standard deviation.
Step 5 :Substituting the given values, we get \(Z = \frac{160 - 121}{18} = 2.1666666666666665\).
Step 6 :Next, we find the area under the normal distribution curve that is to the right of this Z-score. This area represents the percentage of adults with stage 2 high blood pressure.
Step 7 :Using a standard normal distribution table or a calculator, we find that the area to the right of \(Z = 2.1666666666666665\) is approximately \(0.0151\) or \(1.51\%\).
Step 8 :\(\boxed{\text{Final Answer: Around 1.51% of adults in the USA have stage 2 high blood pressure.}}\)