At any given moment, some percentage of employees in a company will not be productively

working. A supervisor believes this gure to be in excess of 20%, and wishes to construct a hypothesis

test to demonstrate the belief. He or she also believes that a 25% gure represents an unacceptable

level of idleness. To check this he decides to spy on randomly chosen n employees. You may assume

that the fraction of employees not working productively is normally distributed. The supervisor would

like to arrive at the decision based on hypothesis testing. If the supervisor wants the probability of

not detecting the latter level of idleness as 0:1 and the level of signicance at 0:05, then the

(2 points) Value of n is

(2 points) Critical value (C) based on which the supervisor makes the decision is