A company with a fleet of 150 cars found that the emissions systems of 3 out of the 30 they tested failed to meet pollution control guidelines. Is this strong evidence that more than 20 % of the fleet might be out of compliance? Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before you proceed.

Question

Biablo

Business

21 June, 00:49

A company with a fleet of 150 cars found that the emissions systems of 3 out of the 30 they tested failed to meet pollution control guidelines. Is this strong evidence that more than 20 % of the fleet might be out of compliance? Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before you proceed.

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Conner Choi · Answer 1

No.

Explanation:

Given:

Total number of test (n) = 30

Percentage = 20% = 0.20

There is a condition in this situation which state that Positive test condition will greater than 10%.

The number of satisfaction:

n x Satisfaction percentage units:

30 x 0.20 = 6, which is lesser then 10

The number of Non-satisfaction units:

n x (1 - Satisfaction percentage)

30 x (1 - 0.20)

30 x 0.80 = 24, which is greater then 10

We should not go with the test because these results are different.