12.
2. A representative of a car manufacturer in the United States made the following claim in a news report.
Ten years ago, only 53 percent of Americans owned American-made cars, but that
figure is significantly higher today.
A research group conducted a study to investigate whether the claim was true. The group found that 56 percent
of a randomly selected sample of car owners in the United States owned American-made cars. A test of the
appropriate hypotheses resulted in a p-value of 0.283. Assuming the conditions for inference were met, is there
sufficient evidence to conclude, at the significance level of a = 0.05, that the proportion of all car owners in the
United States who own American-made cars has increased from what it was ten years ago?
(A) Yes, because 0.56 > 0.53.
(B) Yes, because a reasonable interval for the proportion is 0.56 0.283.
(C) Yes, because 0.56 -0.53 -0.03 and 0.03 <0.05.
(D) No, because 0.283 < 0.53.
(E) No, because 0.283 > 0.05.