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

Answer:

$n = 532$

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:

$\hat p_A = \frac{X}{n}= \frac{174}{532}= 0.327$

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

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:

$n = 532$

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:

$\hat p_A = \frac{X}{n}= \frac{174}{532}= 0.327$

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