REMINDER: For each question (where appropriate) demonstrate that there is a large enough sample size to use the procedure based on the rule of thumb. Don't forget the rule of thumb varies from procedure to procedure. 1. CNN conducts a national call-in poll about whether Americans are in favor of legislation that would allow same sex couples to get married. Of the 2372 calls, 672 are in favor of the legislation. We can't use these data as the basis for inference about the proportion of all Americans who support the legislation. Why not? (2 points) 2. Currently, 31.8% of all babies born in the United States are delivered via cesarean section. a. What are the mean and the standard deviation of the sampling distribution of p" in repeated samples of size 35 from this p0pulation? (3 points) b. If you took a random sample of35 babies born in the United States, what is the probability that less than 25% of them were born via cesarean section? (4 points) c. if you took a random sample of35 babies born in the United States, what is the probability that more than 14 of them were born via cesarean section? (4 points) 3. In a SRS of 864 KU undergraduate students, 9 of them identied as being currently homeless. Explain why we can't use the large-sample confidence interval to estimate the proportion(p) of KU undergraduate students who are currently homeless. (2 points) 4. You want to estimate the proportion of KU students who self-identify as aRepublican. a) How many KU students would you have to sample in order to estimate this proportion to within 3% with 95% condence? Assume you have no prior knowledge about what this proportion may be. (4 points) b) How many KU students would you have to sample in order to estimate this proportion to within 5% with 99% condence? According to the College Republicans organization 40% of college students are Republicans. Consider this a reliable guessed value for the population proportion. (4 points) 5. In a simple random sample of l 25 Kansans l2.8% ofthem were over the age of65. a) What are the sample proportion and its standard error? (3 points) b) Calculate and interpret a 99.9% condence interval for the proportion of Kansans who are over the age of 65. (6 points) 6. In the United States 32% ofchildren live in single-parent households. In a SRS of 350 Hispanic children 37% ofthem lived in single-parent households. Is this sufcient evidence at alpha:.05 that the proportion of Hispanic children who live in a single-parent household is greater than 32%? (8 points)