A consulting firm had predicted that 35% of the employees at a large firm would take advantage of a new company Credit Union, but management is skeptical. They doubt the rate is that high. A survey of 300 employees shows that 138 of them are currently taking advantage of the Credit Union. From the sample proportion

a) Find the standard deviation of the sample proportion based on the null hypothesis.

b) Find the z-statistic.

c) Does the z-statistic seem like a particularly large or small value?