The manager of Lawn and Garden Services would like to estimate the proportion of her employees' time spent performing various gardening and lawn care activities. She has made 400 random observations of a typical worker, with the following results: Activity Time Observed Mowing 200 Trimming 80 Raking 40 Miscellaneous 80 If the manager wants to be 95.44 percent confident that the true proportion of time spent mowing is within .02 (plus or minus) of the sample proportion, what should be her sample size?

a. 400
b. 1,000
c. 1,600
d. 2,000
e. 2,500