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)0.4929
B)0.0071
C)0.9929
D)0.0142

Question

Quizplus · Accepted Answer

The TV claim implies that the probability of a doctor recommending the painkiller is p = 2/3. Therefore, the number of doctors in the sample who recommend the painkiller follows a binomial distribution with parameters n = 300 and p = 2/3. 
We want to find the probability of getting 180 or fewer doctors in the sample who recommend the painkiller. 
Using a binomial distribution calculator, we get P(X ≤ 180) = 0.0071 (rounded to four decimal places). 
Therefore, the best choice is B) 0.0071.

A Claim Was Recently Made on National Television That Two