Researchers as Jackson Hospital asked 40 randomly selected patients about their sleep habits. Sixteen reported sleeping 8 hours or more each night. If there are 700 patients in the hospital, estimate the number of patients who sleep 8 hours or more at night.
To estimate the number of patients who sleep 8 hours or more at night, we can use the proportion of patients in the sample who reported sleeping 8 hours or more as an estimate for the proportion in the population.
Proportion of patients in sample who sleep 8 hours or more = 16/40 = 0.4
So we can estimate that 40% of the 700 patients in the hospital sleep 8 hours or more each night:
Estimated number of patients who sleep 8 hours or more = 0.4 x 700 = 280
Therefore, we estimate that there are 280 patients in the hospital who sleep 8 hours or more each night.