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: $$\begin{array} { l r }
\text { Activity } & \text { Times Observed } \
\hline \text { Mowing } & 200 \
\text { Trimming } & 80 \
\text { Raking } & 40 \
\text { Miscellaneous } & 80
\end{array}$$ What is the probability that the true proportion of time spent mowing is exactly equal to the sample proportion?
A) 0
B) .1
C) .2
D) .5
E) 1

Question

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: $$\begin{array} { l r } 
\text { Activity } & \text { Times Observed } \
\hline \text { Mowing } & 200 \
\text { Trimming } & 80 \
\text { Raking } & 40 \
\text { Miscellaneous } & 80
\end{array}$$ What is the probability that the true proportion of time spent mowing is exactly equal to the sample proportion?
A) 0
B) .1
C) .2
D) .5
E) 1

Quizplus · Accepted Answer

In order to determine the probability that the true proportion of time spent mowing is exactly equal to the sample proportion, we need to conduct a hypothesis test. However, the information given in the question is not sufficient to carry out such a test, as we do not have an estimate of the population proportion, nor do we know the sample size or level of significance.
Therefore, we cannot determine the probability and the correct answer is A, 0.

The Manager of Lawn and Garden Services Would Like to Estimate