An investment website can tell what devices are used to accessthe site. The site managers wonder whether they should enhance thefacilities for trading via​ \"smart phones\", so they want toestimate the proportion of users who access the site that way​(even if they also use their computers​ sometimes). They draw arandom sample of
200200
investors from their customers. Suppose that the true proportionof smart phone users is
3737​%.
​a) What would the standard deviation of the samplingdistribution of the proportion of the smart phone users​ be?
. 034.034
​(Round to three decimal places as​ needed.)
​b) What is the probability that the sample proportion of smartphone users is greater than
0.370.37​?
. 5.5
​(Round to three decimal places as​ needed.)
​c) What is the probability that the sample proportion isbetween
0.320.32
and
0.420.42​?
. 858.858
​(Round to three decimal places as​ needed.)
​d) What is the probability that the sample proportion is lessthan
0.300.30​?
. 02.02
​(Round to three decimal places as​ needed.)
​e) What is the probability that the sample proportion isgreater than
0.440.44​?
______
​(Round to three decimal places as​ needed.)
