Thirty-two percent of fish in a large lake are bass. Imagine scooping out a simple random sample of 15 fish from the lake and observing the sample proportion of bass. What is the standard deviation of the sampling distribution? Determine whether the 10% condition is met.
A:The standard deviation is 0.8795. The 10% condition is met because it is very likely there are more than 150 bass in the lake.
B:The standard deviation is 0.8795. The 10% condition is not met because there are less than 150 bass in the lake.
C:The standard deviation is 0.1204. The 10% condition is met because it is very likely there are more than 150 bass in the lake.
D:The standard deviation is 0.1204. The 10% condition is not met because there are less than 150 bass in the lake.
E:We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 150 bass in the lake.