Final answer:
To calculate the probability of observing 11 or more blood pressure drops in a random sample of 13 treated patients if the new drug is ineffective in reducing blood pressure, we can use the binomial distribution.
Step-by-step explanation:
To calculate the probability of observing 11 or more blood pressure drops in a random sample of 13 treated patients if the new drug is ineffective in reducing blood pressure, we can use the binomial distribution.
- First, we need to find the probability that a hypertensive patient's blood pressure drops if they are untreated, which is given as 0.5.
- We can then use this probability to calculate the probability of observing a specific number of blood pressure drops in a sample of 13 treated patients.
- We can then use a binomial distribution table to find the probability of observing 11 or more blood pressure drops.
- Round the probability to six decimal places.