Question

A random sample of 4000 U.S. citizens yielded 2280 who are in favor of gun control legislation. Find the point estimate for estimating the proportion of all Americans who are in favor of gun control legislation.

Answer 1

`n= 4000` represent the sample size of citizens selected

`X= 2280` represent the people who are in favor of gun control legislation

`\hat p =(X)/(n)`

And replacing we got:

`\hat p= (2280)/(4000)= 0.57`

Explanation:

For this problem we have the following info given:

`n= 4000` represent the sample size of citizens selected

`X= 2280` represent the people who are in favor of gun control legislation

And for this case we want to estimate the roportion of all Americans who are in favor of gun control legislation and for this case we can use the following formula:

`\hat p =(X)/(n)`

And replacing we got:

`\hat p= (2280)/(4000)= 0.57`