In 1999, the Gallup poll began to periodically ask adult Americans, "How would you rate the job being done by NASA-the U.S. space agency? Would you say it is doing an excellent, good, only fair, or poor job?" In the first poll in 1999, 45% of about 1000 randomly selected adult Americans gave NASA an excellent or good rating. In 2007, the poll asked 1010 randomly selected adult Americans, and 50% gave NASA a good to excellent rating. Was NASA being looked upon more favorable by the American public in 2007 than in 1999? (Let group 1 represent the 1999 data.)
H0:p1−p2=0
What sign should appear in the alternative hypothesis?
A. <
B. >
C. ≠
The test statistic for this test is
.
The p-value for this test is
.
Select the appropriate conclusion for this test at a significance level of α=0.05.
A. Reject H0. We have significant evidence that NASA was being looked upon more favorable by the American public in 2007 than in 1999.
B. Fail to reject H0. We do not have significant evidence that NASA was being looked upon more favorable by the American public in 2007 than in 1999.