5. A clinical researcher is conducting a study using an FDA approved medication that helps patients with insomnia. The researcher obtains 350 patients and believes that the medication will work on 75% of the patients.

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5. A clinical researcher is conducting a study using an FDA approved
medication that helps patients with insomnia. The researcher obtains 350
patients and believes that the medication will work on 75% of the patients.
a) Check the conditions for the normal approximation to binomial.
b) Write out the sampling distribution when n=350. Round to one decimal.
c) Use the normal approximation to the binomial to find the probability that
from the 350 patients, the medication works for more than 275 patients.
Round to 4 decimal places.
Transcribed Image Text:5. A clinical researcher is conducting a study using an FDA approved medication that helps patients with insomnia. The researcher obtains 350 patients and believes that the medication will work on 75% of the patients. a) Check the conditions for the normal approximation to binomial. b) Write out the sampling distribution when n=350. Round to one decimal. c) Use the normal approximation to the binomial to find the probability that from the 350 patients, the medication works for more than 275 patients. Round to 4 decimal places.
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