A company with a fleet of 150 cars found that the emissions systems of only 4 out of the 32 they tested failed to meet pollution control guidelines. The company initially believed that 30% of the fleet was out of compliance. Is this strong evidence the percentage of the fleet out of compliance is different from their initial thought

Yes

Step-by-step explanation:

First, we need to find how many cars out of the entire fleet fail the test

4/32 = x/150

Cross multiply to find x

32x = 150(4)

32x = 600

32x/32 = 600/32

x = 18.75

I'll round it to 19. So 19 out of 150 cars fail the test. Find the percentage of this and compare it to the 30% estimate

19 /150 = 0.127

0.127(100) = 12.7%

12.7% is obviously lower than 30% so yes it is strong evidence the percentage of the fleet out of compliance is different from their initial thought

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.