10. Pierre reads that 20% of new car owners need to schedule a service appointment for their vehicle within
1 year of owning it. He thinks this proportion could be lower. He asks a large group of friends and
coworkers and finds that 12 out of 50 people needed to schedule a service appointment for their new car
within 1 year of owning it. Does the sample in this situation meet all three conditions for performing a
significance test using a z-statistic? Why or why not?
(1 point)
No, the sample is not large enough to be considered approximately normal.
Yes, the sample is randomly selected, approximately normal, and independent.
No, the sample is not independent because 50 people would be more than 10% of all the people who own
a new car.
No, the sample was not randomly selected. Pierre chose to ask people he knows.
Yes, the sample is randomly selected, approximately normal, and independent.
No, the sample in this situation does not meet all three conditions for performing a significance test using a z-statistic.
The correct answer is:
No, the sample was not randomly selected. Pierre chose to ask people he knows.
One of the conditions for performing a significance test is that the sample should be randomly selected. In this case, Pierre specifically chose to ask his friends and coworkers, which is not a random selection. Therefore, the sample does not meet this condition.