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: $$\begin{array} { l r } \text { Activity } & \text { Times Observed } \\\hline \text { Mowing } & 200 \\\text { Trimming } & 80 \\\text { Raking } & 40 \\\text { Miscellaneous } & 80\end{array}$$ How confident can the manager be that the true proportion of time spent mowing is between .45 and .55?

A) 90 percent
B) 95 percent
C) 95.5 percent
D) 99 percent
E) 99.7 percent