42 of 65 randomly selected people at a baseball game report owning an iPod. 34 of 52 randomly selected people at a rock concert occurring at the same time across town reported owning an iPod.
A researcher wants to test the claim that the proportion of iPod owners at the two venues is not the
same. A 90% confidence interval for the difference in population proportions is (-0.154,0.138).
Which of the following gives the correct outcome of the researchers' test of the claim?
(a) Since the confidence interval includes 0, the researcher can conclude that the proportion of iPod
owners at the two venues is the same.
(b) Since the confidence interval includes 0, the researcher can conclude that the proportion of
iPod owners at the two venues may be the same.
(c) Since the confidence interval includes 0, the researcher can conclude that the proportion of iPod
owners at the two venues is different.
(d) Since the confidence interval includes more positive than negative values, we can conclude that
a higher proportion of people at the baseball game own iPods than at the rock concert.
(e) We cannot draw a conclusion about a claim without performing a significance test.