Question

In a random sample of 1276 U.S. adults, 903 favor using mandatory testing to assess how well schools are educating students. In another random sample of 1112 U.S. adults taken 9 years ago, 799 favored using mandatory testing to assess how well schools are educating students. At α = 0.05, can you support the claim that the proportion of U.S. adults who favor mandatory testing to assess how well schools are educating students is less than it was 9 years ago?

Problem

You will perform a Two Sample Hypothesis Test for Proportions. For the Hypothesis Test, make sure to report the following steps:

1. Identify the null hypothesis, Ho, and the alternative hypothesis, Ha.

2. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

3. Find the critical value(s) and identify the rejection region(s).

4. Find the appropriate standardized test statistic. If convenient, use technology.

5. Decide whether to reject or fail to reject the null hypothesis.

6. Interpret the decision in the context of the original claim.

Answer 1

1. Ho: P. =b. vs ta bisbe The hypothesis test is right - tanited, (3) at a-o.or (reject llibus =2.. Simiticano level 2 > libur) The critical value a = 799 9 years ago (P) na 1412 Tim 799 6.7185 1112 This year CP2) n = = 1276 P2=903 1276 -0.7077 - 903 -P2) The test statistic z z JF,(FT), Pocity na 2=67185 - 6.7077 210.58 10-7185 X0-2805(07077X012923) 1112 1276 Decision fail to reject the wall hypothesis Interpretation : we cannot conclude that the proportion us adults about the considered character to (decreased) less than it was of years ago.