The population proportion of 5 year old's who live with only one parent, for city & sample is 0.350 & 0.371 respectively.
Step-by-step 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.
[tex]Proportion = \frac{Number(Child-single-parent)}{Number(Children)}[/tex]
Population proportion for city:
[tex]Proportion = \frac{Number(Child-single-parent)}{Number(Children)}[/tex]
⇒ [tex]Proportion = \frac{598}{1704}[/tex]
⇒ [tex]Proportion = 0.350[/tex]
Population proportion for sample:
[tex]Proportion = \frac{Number(Child-single-parent)}{Number(Children)}[/tex]
⇒ [tex]Proportion = \frac{225}{606}[/tex]
⇒ [tex]Proportion = 0.371[/tex]
∴ The population proportion of 5 year old's who live with only one parent, for city & sample is 0.350 & 0.371 respectively.
