Let us say that 40% of the 7400 employees at the Environmental Protection Agency stated that the United States should ban clothianidin. A poll of a random sample of 50 employees reports that 30 stated that clothianidin should be banned.
a) Describe the shape and parameters of the population distribution.
b) Describe the sample distribution.
c) Describe the shape, center, and spread (standard error) of the sampling distribution of the sample statistic (proportion).
d) What is the probability that the poll found 40 employees stated that clothianidin should be banned?
e) What is the probability of the poll finding that between 50% and 60% of employees state that clothianidin should be banned?