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.

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Answer:

[tex] n = 532[/tex]

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:

[tex] X= 174[/tex]

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

[tex]\hat p_A = \frac{X}{n}= \frac{174}{532}= 0.327[/tex]

And the complement rule is given by:

[tex] \hat q_A = 1- \hat p_A = 1-0.327= 0.673[/tex]

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

Step-by-step explanation:

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

The total sample size is 532 so then we have:

[tex] n = 532[/tex]

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:

[tex] X= 174[/tex]

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

[tex]\hat p_A = \frac{X}{n}= \frac{174}{532}= 0.327[/tex]

And the complement rule is given by:

[tex] \hat q_A = 1- \hat p_A = 1-0.327= 0.673[/tex]

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

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