40 patients were asked how many hours they slept at night 16 said 8 hours. 700 patients in hospital estimate how many slept 8 hours a night

16/40 = 0.4

0.4 * 700 = ?

The answer is 280

To estimate the number of patients who slept 8 hours a night based on the sample data, you can use the concept of proportions.

First, let's calculate the proportion of patients in the sample who slept 8 hours a night. The question states that out of 40 patients, 16 said they slept 8 hours. To find the proportion, divide the number of patients who slept 8 hours by the total number of patients:

Proportion in the sample = Number of patients who slept 8 hours / Total number of patients in the sample
Proportion in the sample = 16 / 40

Now, let's find the estimated number of patients who slept 8 hours in the hospital population, assuming there are 700 patients:

Estimated number of patients who slept 8 hours = Proportion in the sample * Total number of patients in the population
Estimated number of patients who slept 8 hours = (16 / 40) * 700

Calculating this gives us:
Estimated number of patients who slept 8 hours = (0.4) * 700
Estimated number of patients who slept 8 hours = 280

Therefore, based on this estimation, we can estimate that approximately 280 patients out of the 700 in the hospital slept 8 hours a night.