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4 February, 08:32

The marketing manager for an automobile manufacturer is interested in determining the proportion of new compact-car owners who would have purchased a knee airbag 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 knee airbag. 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 reach?

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  1. 4 February, 08:38
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    After the result obtained through the hypothesis test, I have sufficient evidence to reject the null hypothesis.

    Explanation:

    The null hypothesis is the statement that two (or more) parameters have no relation to each other.

    X = estimated proportion new cars owner tha purchase the knee airbag

    Y = they would have purchased the knee airbag

    Z = the new compact owners

    X = Y/Z

    Hypothesis

    H0 = 0,30 (equal 30%. They would have purchased a knee airbag if it had been available)

    H1≠0,30 (different to 30%. They would have purchased a knee airbag if it had been available)

    Survey

    Y=79

    Z=200

    X = 79 / 200

    X=0,395 (39,5%. They would have purchased a knee airbag if it had been available)
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