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The marketing manager for an automobile manufacturer is interested in determining the proportion of new compact-car owners who would have purchased a passengerside inflatable air bag if it had been available for an additional cost of $300. The manager believes from previous information that the proportion is 0.30. Suppose that a survey of 200 new compact-car owners is selected and 79 indicate that they would have purchased the inflatable air bags. If you were to conduct a test to determine whether there is evidence that the proportion is different from 0.30 and decided not to reject the null hypothesis, what conclusion could you draw? Group of answer choices

A)There is not sufficient evidence that the proportion is not 0.30.
B)There is sufficient evidence that the proportion is 0.30.
C)There is sufficient evidence that the proportion is 0.30.
D)There is not sufficient evidence that the proportion is 0.30.

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Answer:

A)There is not sufficient evidence that the proportion is not 0.30.

Explanation:

When carrying out a statistical test, we always have two types of hypothesis which include null hypothesis and alternative hypothesis. The two hypotheses are opposite of each other, if one rejects one, he/she must accept the other. If the null hypothesis is accepted, it means that there is no statistical significance of the claim. In this case, the null hypothesis is accepted meaning that there is not sufficient evidence that the proportion is not 0.30. Hence, the correct answer is A

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