Suppose that the manager of the Commerce Bank at Glassboro determines that 40% of all depositors have a multiple accounts at the bank. If you, as a branch manager, select a random sample of 200 depositors, what is the probability that the sample proportion of depositors with multiple accounts is between 35% and 50%?
50% proportion probability: z = 2.04124145232
35% proportion probability: z = -1.02062072616
Now use the z-scores to find the probability in between those two points
p(-1.02062072616 < z < 2.04124145232) = 0.479325 - 0.346136 = 0.133189
50% proportion probability: z = 2.04124145232
35% proportion probability: z = -1.02062072616
Now use the z-scores to find the probability in between those two points
p(-1.02062072616 < z < 2.04124145232) = 0.479325 - 0.346136 = 0.133189