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.

i.A science teacher claims that the mean scores on a science assessment test for fourth grade boys and girls are equal. The mean score for 63 randomly selected boys is 151 with a standard deviation of 36, and the mean score for 65 randomly selected girls is 149 with a standard deviation of 34. At = 0.10, can you reject the teacher's claim? Assume the populations are normally distributed and the population variances are equal.

Resource: Two Samples, Means, sigma known

ii.In a random sample of 1216 U.S. adults, 966 favor using mandatory testing to assess how well schools are educating students. In another random sample of 1202 U.S. adults taken 9 years ago, 893 favored using mandatory testing to assess how well schools are educating students. At = 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 more than it was 9 years ago?

Resource: Two Samples, Proportions