Question

Let p be the population proportion for the following condition. Find the point estimates for p and q. In a survey of 17141714 adults from country​ A, 532532 said that they were not confident that the food they eat in country A is safe. The point estimate for​ p, ModifyingAbove p with caretp​, is nothing. ​(Round to three decimal places as​ needed.) The point estimate for​ q, ModifyingAbove q with caretq​, is nothing.

Answer 1

`n = 532`

And from the 532 adults in the sample we know that 174 adults said that they were not confident that the food they eat in country A is safe, and we can notate that with:

`X= 174`

We can estimate the proportion of adults who said that they are not confident that the food they eat in country A is safe
`p_A` with this formula:

`\hat p_A = (X)/(n)= (174)/(532)= 0.327`

And the complement rule is given by:

`\hat q_A = 1- \hat p_A = 1-0.327= 0.673`

And this proportion represent the proportion of adults who NOT said that they are not confident that the food they eat in country A

Explanation:

For this case we have the following info given from a survey.

The total sample size is 532 so then we have:

`n = 532`

And from the 532 adults in the sample we know that 174 adults said that they were not confident that the food they eat in country A is safe, and we can notate that with:

`X= 174`

We can estimate the proportion of adults who said that they are not confident that the food they eat in country A is safe
`p_A` with this formula:

`\hat p_A = (X)/(n)= (174)/(532)= 0.327`

And the complement rule is given by:

`\hat q_A = 1- \hat p_A = 1-0.327= 0.673`

And this proportion represent the proportion of adults who NOT said that they are not confident that the food they eat in country A