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.

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.