A claim was recently made on national television that two of every three doctors recommend a particular pain killer. Suppose a random sample of n = 300 doctors revealed that 180 said that they would recommend the painkiller. If the TV claim is correct, what is the probability of 180 or fewer in the sample agreeing?
A) 0.0071
B) 0.4929
C) 0.9929
D) 0.0142
E) 0.5071

Question

Quizplus · Accepted Answer

The probability of 180 or fewer doctors recommending the painkiller can be calculated using a binomial distribution with p = 2/3 and n = 300. The probability of observing 180 or fewer successes is approximately 0.0071.

A Claim Was Recently Made on National Television That Two