let p be the population proportion for the following condition. find the point estimates for p and q.\na…

let p be the population proportion for the following condition. find the point estimates for p and q.\na study of 4610 adults from country a, 2842 think mainstream media is more interested in making money than in telling the truth.\n\nthe point estimate for p, $hat{p}$, is \n(round to three decimal places as needed.)

let p be the population proportion for the following condition. find the point estimates for p and q.\na study of 4610 adults from country a, 2842 think mainstream media is more interested in making money than in telling the truth.\n\nthe point estimate for p, $hat{p}$, is \n(round to three decimal places as needed.)

Answer

Explanation:

Step1: Recall point - estimate formula for p

The point - estimate for the population proportion $p$, denoted as $\hat{p}$, is calculated as $\hat{p}=\frac{x}{n}$, where $x$ is the number of successes and $n$ is the sample size. Here, $n = 4610$ (the number of adults in the study) and $x = 2842$ (the number of adults who think mainstream media is more interested in making money than in telling the truth). $\hat{p}=\frac{2842}{4610}$

Step2: Calculate the value of $\hat{p}$

$\hat{p}=\frac{2842}{4610}\approx0.617$

Step3: Recall formula for q

The point - estimate for $q$ is $\hat{q}=1 - \hat{p}$. $\hat{q}=1 - 0.617 = 0.383$

Answer:

The point estimate for $p$, $\hat{p}$, is $0.617$.