This question is incomplete, the complete question is;
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
What is the probability that the true proportion of time spent mowing is exactly equal to the sample proportio;
Multiple Choice
a) 1
b) 0
c) 5
d) 2
e) 1
Answer:
b) 0
Explanation:
Given that;
Activity Time Observed
Mowing 200
Trimming 80
Ranking 40
Miscellaneous 80
Total 400
Now since proportion of time spent on mowing will be
200 / 400 = 0.5
there will be no chance that the true proportion of time spent mowing is exactly equal to the sample proportion.
Where true proportion is 200 and sample is 400
So the probability is 0.