Question

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?

Answer 1

Answer:

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)