Assume that it is true that people can not tell the difference between Coke and Pepsi. If a sample of 15 people participated in a blind taste test, can we assume that the sampling distribution of the proportion of people that correctly chose Pepsi is normal

No

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they can tell the difference between Coke and pepsi, or they cannot. The probability that a person has o telling the difference between Coke and pepsi is independent from each other. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to the normal distribution if

and

In this problem, we have that:

First condition

Second condition

Multiplying by -1

p cannot be at the at the same time greather than 2/3 and lesser than 1/3. So we cannot assume  that the sampling distribution of the proportion of people that correctly chose Pepsi is normal.

560

step-by-step explanation:

giggidy