Final answer:
High blood pressure, also known as hypertension, has been identified as a risk factor for heart attacks and strokes.
Step-by-step explanation:
High blood pressure, also known as hypertension, has been identified as a risk factor for heart attacks and strokes. In the context of the given question, the proportion of U.S. adults with high blood pressure is 0.2. This means that 20% of U.S. adults have high blood pressure.
To calculate the probability of a sample of 38 U.S. adults having high blood pressure, we can use the binomial probability formula. Assuming that the proportion of adults with high blood pressure is the same in the sample, we can calculate the probability as:
P(X = k) = C(n, k) * p^k * (1-p)^(n-k)
Where:
P(X = k) is the probability of getting k successes (individuals with high blood pressure),
C(n, k) is the number of ways to choose k successes out of n (combination),
p is the probability of success (proportion of adults with high blood pressure),
(1-p) is the probability of failure (proportion of adults without high blood pressure),
n is the sample size (number of U.S. adults chosen).
In this case, n = 38 and p = 0.2. To find the probability of getting exactly k adults with high blood pressure, you need to substitute the values of n, k, and p into the formula and calculate it using a calculator like the TI-84 Plus.
Keep in mind that the result will be an approximation. The final answer should be rounded to at least four decimal places.
Note: If you need the exact answer, you can use a software or coding language that supports calculating binomial probabilities.