What is the probability that the true proportion of time spent mowing is exactly equal to the sample proportion

Respuesta :

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

Step-by-step 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.

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