Question

According to government data 22 percent of children in the United States under the age of 6 years live in households with incomes that are closed a pincome A simple random sample of 300 children in the United States under the age of 6 years was selected for a study of learning in early childhood if the government data are correct, which of the following best approximates the probability that at 27 percent of the children in the sample live in households that are closed at the particulo income level o represents a standard normal random variable)

Answer 1

Answer:
`p(z > \frac{0.27-0.22}{\sqrt{((0.22)(0.78))/(300) } } )`

Explanation:

`P=(22)/(100) =0.22, n=300`
`q=1-p=0.78`

`p' = (27)/(100)=0.27`

`p(z > \frac{p'-p}{\sqrt{(p*q)/(n) } } )`

`p(z > \frac{0.27-0.22}{\sqrt{((0.22)(0.78))/(300)} }`