1. Choose whether each of the following is discussing a single p, or a difference of twop's. [4 pts] a) A study to determine the percentage of students who are left- handed versus right-handed. b) A study to determine whether women are more likely to be left- handed than men. () A study to determine what percentage of Republicans are pro-life versus what percentage are pro-choice. d) A study to determine whether people from Western Oregon are more likely to be pro-choice than people from Eastern Oregon. 2. In a sample of 85 large AA eggs, the mean cholesterol was 187 mg with a standard deviation of 2.7 mg. In a sample of 90 large grade A eggs, the mean and standard deviation were 177 mg and 2.5 mg, respectively. Construct a 95% confidence interval for the difference in cholesterol between large grade AA eggs and large grade A eggs. Show your entire thought process, including normality checks, standard error, degrees of freedom, etc. Interpret your results in a sentence. [ 8 pts] 3. In an experiment to determine whether adding mushroom compost improves plant germination, 150 seeds were planted in soil containing 3% mushroom compost by weight, and 150 seeds were planted in soil containing 5% compost. Of the seeds in the 3% mixture, 74 germinated. Of the seeds in the 5% mixture 86 germinated. Perform a hypothesis test to test the claim that a higher percentage of seeds planted in 5% mixture will germinate. Test at the alpha is equal to 5% level. Show all steps including an interpretation of your result. [8 pts]