Question

Many people think that a national lobby's successful fight against gun control legislation is reflecting the will of a minority of Americans. A random sample of 4000 citizens yielded 2250 who are in favor of gun control legislation. Compute the point estimate for the proportion of citizens who are in favor of gun control legislation. Round to four decimal places.

Answer 1

Answer:  $\hat{p}=0.5625$

Step-by-step explanation:

Given : Sample size : $n=4000$

The number of people who are in favor of gun control legislation =2250

The proportion of people who are in favor of gun control legislation will be :-

$p_0=\dfrac{2250}{4000}=0.5625$

We assume that the the given situation is normally distributed.

Then , the point estimate for the proportion $\hat{p}$ of citizens who are in favor of gun control legislation is equals to the sample proportion.

i.e.  $\hat{p}=0.5625$