Question

In one​ city, there are a total of 1704

5 year old children of whom 598

live with one parent only. Among a sample of 606

of the 5 year old children from this​ city, 225

live with one parent only. Find the population proportion of 5 year olds who live with only one​ parent, rounded to two decimal places as needed.

Answer 1

The population proportion of 5 year old's who live with only one​ parent, for city & sample is 0.350 & 0.371 respectively.

Explanation:

We have , In one​ city, there are a total of 1704 , 5 year old children of whom 598 live with one parent only. Among a sample of 606 of the 5 year old children from this​ city, 225 live with one parent only.

Population proportion is the ratio of Number of 5 year old child's with one parent only to Total Number of 5 year old children. i.e.

`Proportion = (Number(Child-single-parent))/(Number(Children))`

Population proportion for city:

`Proportion = (Number(Child-single-parent))/(Number(Children))`

⇒
`Proportion = (598)/(1704)`

⇒
`Proportion = 0.350`

Population proportion for sample:

`Proportion = (Number(Child-single-parent))/(Number(Children))`

⇒
`Proportion = (225)/(606)`

⇒
`Proportion = 0.371`

∴ The population proportion of 5 year old's who live with only one​ parent, for city & sample is 0.350 & 0.371 respectively.