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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Business

Marc Moss

12 September, 04:42

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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Taniya Gates · 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.