In: Statistics and Probability
For the following scenarios write an appropriate null and alternative hypothesis and identify what type of test statistic will be used. (Steps 1 & 3 of the six step hypothesis test.)
a. A nationwide sample of influential Republicans and Democrats was asked as part of a comprehensive survey whether they favored lowering environmental standards so that high-sulfur coal could be burned in coal-fired plants. The results were:
Republicans | Democrats | |
No. Sampled | 1100 | 1400 |
No. in Favor | 115 | 158 |
At the .01 level of significance, can we conclude that there is a larger proportion of Democrats in favor of lowering the standards?
i. Hypotheses:
ii. Type of Test Statistic:
b. A survey investigated the public’s attitude toward the federal deficit. Each sample citizen was classified as to whether he or she felt the government should reduce the deficit or increase the deficit, or if the individual had no opinion. The sample results of the study by gender are reported below. At the .05 significance level, is it reasonable to conclude that gender is independent of a person’s position on the deficit?
Gender | Reduce the Deficit | Increase the Deficit | No Opinion |
Female | 621 | 144 | 48 |
Male | 598 | 121 | 53 |
iii. Hypotheses:
iv. Type of Test Statistic: