Radon is a gas produced when radium decays, and it can enter homes where it can be a health threat. among 180 homes in hyde park, 25 were found to have unsafe radon levels. among 230 homes in lagrange, 50 were found to have unsafe radon levels. use a .05 significance level to test that the two towns have different rates of unsafe radon levels. use our 4 step procedure.

We are given that Among 180 homes in Hyde Park, 25 were found to have unsafe radon levels. Among 230 homes in La Grange, 50 were found to have unsafe radon levels.

Claim : the two towns have different rates of unsafe radon levels.

Let and be the rates of unsafe radon levels of Hyde Park and LaGrange respectively .

Among 180 homes in Hyde Park, 25 were found to have unsafe radon levels

So,

Among 230 homes in La Grange, 50 were found to have unsafe radon levels.

So,

We will use Comparing Two Proportions

Formula of test statistic :

Substitute the values  

test statistic :

test statistic :  −2.053

Refer the z table for p value

p value = 0.0202

α= 0.05

Since p value < α

So, we reject the null hypothesis that the two towns have same rates of unsafe radon levels.

So, Claim is true.

no association

step-by-step explanation:

if you have eyes and you can use them efficiently you can see that it just looks like random dots like do a line of best fit and like they're so spread out it's such a weak association you might as well consider it nonexistent