researchers at Jackson Hospital asked 40 randomly selected patients about their sleep habits 16 reported sleeping eight hours or more each night if there are 700 patients in the hospital as me the number of patients who sleep eight hours or more each night
We can use proportions to estimate the number of patients who sleep eight hours or more each night in the hospital:
Proportion of patients who sleep eight hours or more each night = 16/40 = 0.4
We can assume that this proportion is representative of the entire population of patients in the hospital, and use it to estimate the number of patients who sleep eight hours or more each night:
Number of patients who sleep eight hours or more each night = Proportion of patients who sleep eight hours or more x Total number of patients in the hospital
Number of patients who sleep eight hours or more each night = 0.4 x 700 = 280
Therefore, we can estimate that there are 280 patients in the hospital who sleep eight hours or more each night.
To estimate the number of patients who sleep eight hours or more each night, we can use the proportion of patients in the sample who reported sleeping eight hours or more.
The proportion of patients in the sample who sleep eight hours or more each night is calculated as:
Proportion = Number of patients who sleep eight hours or more / Total number of patients in the sample
We were given that 16 out of 40 randomly selected patients reported sleeping eight hours or more each night.
Proportion = 16 / 40
Assuming this proportion is representative of the entire patient population, we can estimate the number of patients who sleep eight hours or more each night among the 700 patients in the hospital.
Number of patients who sleep eight hours or more = Proportion * Total number of patients in the hospital
Number of patients who sleep eight hours or more = (16 / 40) * 700
Number of patients who sleep eight hours or more ≈ 280
Therefore, based on the given information, it is estimated that around 280 patients in the hospital sleep eight hours or more each night.
To estimate the number of patients who sleep eight hours or more each night out of the total 700 patients in the hospital, we can use the concept of proportions.
We know that out of the randomly selected 40 patients, 16 of them reported sleeping eight hours or more each night. We can set up a proportion using this information:
16/40 = X/700
Cross-multiplying, we get:
40X = 16 * 700
Simplifying the equation:
40X = 11200
Dividing both sides by 40:
X = 11200/40
X = 280
Therefore, we can estimate that approximately 280 patients out of the total 700 patients sleep eight hours or more each night, based on the responses from the randomly selected 40 patients.