Question

According to a national census for a particular​ country, the proportion of families with three or more children​ (aged less than​ 25) declined from

3939​%

in 1961 to

1919​%

in 2011. Suppose we estimate that this proportion is

17.617.6​%

this year. In order to market products to large​ families, we randomly select

25002500

families in this nation for a survey. Complete parts​ (a) through​ (d) below.

b) In our​ sample, we find

19.119.1​%

of the families have three or more children. What is the probability of a proportion as high as

19.119.1​%

or higher in the sample if our estimate of

17.617.6​%

in the population is​ correct?

The probability is

nothing.

​(Round to four decimal places as​ needed.)

Answer 1

Answer: According to a national census for a particular country the proportion of families with three or more children aged less than 25 declined from 39% in 1961 to 19% in 2011 Suppose we estimate that this proportion is 17.6% this year. In order to market products to large families, we randomly select 2500 families in this nation for a survey.

Solution :

b) In our ample, we find 19.1% of the familles have three or more children. What is the probability or a proportion as high as 19.1% or in the sample our estimate of 17.6% in the population is correct.

The probability is 0.0244

Therefore, the probability of proportion as high as 19.1% or higher in the sample is 0.0244.