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

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Funkalucious Funkalucious · Answer 1 · 2020-08-07T17:18:52+02:00

Answer:

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