Questions: Let p be the population proportion for the following condition. Find the point estimates for p and q. A study of 4709 adults from country A, 2784 think mainstream media is more interested in making money than in telling the truth. The point estimate for p, p̂, is . (Round to three decimal places as needed.)

Solution Steps

To find the point estimate for the population proportion \( p \), we use the formula:

\[ \hat{p} = \frac{x}{n} \]

where:

• \( x = 2784 \) (the number of adults who think mainstream media is more interested in making money)
• \( n = 4709 \) (the total number of adults surveyed)

Calculating \( \hat{p} \):

\[ \hat{p} = \frac{2784}{4709} \approx 0.591 \]

The point estimate for \( q \) (the proportion of adults who do not think mainstream media is more interested in making money) is given by:

\[ \hat{q} = 1 - \hat{p} \]

Substituting the value of \( \hat{p} \):

\[ \hat{q} = 1 - 0.591 \approx 0.409 \]

Final Answer