Problem You will perform aTwo Sample Hypothesis Test for Meansand perform aTwo Sample Hypothesis Test for Proportions. For theHypothesis Tests, 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.
7. Nine students took the SAT. Their scores are: 720, 860, 850, 880, 860, 710, 850, 1200, 950. Later on, they took a test preparation course and retook the SAT. Their new scores are: 740, 860, 840, 920, 890, 720, 840, 1240, 970. Test the claim that the test preparation had no effect on their scores. Assume the samples are random and dependent, and the populations are normally distributed. Use = 0.05.

Resource: Two Samples, Dependent Means

1. In a random sample of 1066 U.S. adults, 580 think that the U.S. government is doing too little to protect the environment. In another random sample of 1038 U.S. adults taken 10 years ago, 514 think that the U.S. government is doing too little to protect the environment. At = 0.10, can you reject the claim that the proportion of U.S. adults who think that the U.S. government is doing too little to protect the environment has not changed?

Resource: Two Samples, Proportions