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: 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 proportion?

Answer 1

The probability is 0

Explanation:

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.