POPULATION PROPORTION
- 0.23
Solution:
Formula of the population proportion: P=[tex]\frac{x}{n}[/tex]
P= [tex]\frac{50}{215}[/tex]=0.23
So P= 0.23
Populati
on Proportion
A population proportion is a percentage of the total population with a specific attribute. Let's imagine you have 1,000 persons in your population, with 237 of them having blue eyes. Blue-eyed persons account for 237 out of 1,000 people, or 237/1000.
The population proportion is written with the letter p, therefore this fact would be written as follows:
P= X/N
P=237/1000.
P=237/100 can also be expressed as a decimal (by dividing 1000 by 237). If you did that, then p = 0.237.
Formula of Population Proportion
Simply divide the overall population by the number of items you're interested in, and you'll obtain "p." It's written as follows as a formula:
p = x / n
Where:
The amount of items you're interested in is represented by "x," and
The total number of objects in the population is denoted by "n."
While the letter "p" is commonly used as the sign for the population proportion, the letter pi() may also be utilized.
Example:
According to a veterinary clinic, there are 1,712 dogs, 1,012 cats, and the remainder are rodents or birds among the 3,412 animals registered there. At the clinic, what is the cat population proportion, p?
The number of cats is 1,012 and the total number of animals is 3,412. Therefore,
P= X/N
p = 1,012/3,412.
As a decimal, that’s p = 1,012/3412 = 0.296 (to two decimal places).
Calculation of Population Proportin
In the actual world, you seldom have information about the complete population, therefore you estimate p using sample data. The letter p, pronounced p-hat, is used to represent this sample fraction. It's done the same manner, but using data from a sample: just divide the total number of things in the sample by the number of items you're interested in.
Example Question:
In a study of 3500 persons, 450 were found to be under-vaccinated. What proportion of the local population has not had all of their vaccinations?
Answer:
Because you don't have population statistics for the area, utilize the following sample data:
p̂ = x /n
p= 450/3500
p=0.128
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