The Manager of Lawn and Garden Services Would Like to Estimate

Multiple Choice

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: $$\begin{array} { l c } \text { Activity } & \text { Time Observed } \\\hline \text { Mowing } & 200 \\\text { Trimming } & 80 \\\text { Raking } & 40 \\\text { Miscellaneous } & 80\end{array}$$ 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