please help with these health stats questions and provide SAS codes if possible:

1. Researchers in the Faculty of ENV conducted a study to determine whether undergraduate students recognize climate change as a critical issue. In the study, a response of 1 indicates that a student recognizes climate change as a critical issue and a response of 0 indicates that a student does not recognize climate change as a critical issue.

The results of the study are as follows: 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1

a. Construct and interpret the 95% confidence interval for the mean number of students who recognize climate change as a critical issue.

b. Calculate the error bound.

2. As part of the Health Survey conducted by the Department of Health and Human Services, self-reported heights and measured heights were obtained for females aged 12-16. Is there sufficient evidence to support the claim that there is a difference between self-reported heights and measured heights of females aged 12-16? Use a 0.05 significance level. Assume that reported and measured heights are normally distributed.

Reported Height: 68, 71, 63, 70, 71, 60, 65, 64, 54, 63, 66, 72

Measured Height: 67.9, 69.9, 64.9, 68.3, 70.3, 60.6, 64.5, 67, 55.6, 74.2, 65, 70.8

a. Construct a 95% confidence interval for the true average of reported heights.

b. Construct a 95% confidence interval for the true average of measured heights.

c. Compare the two CI from parts (a) and (b) and interpret your findings.

d. If you are a researcher applying for/holding a grant interested in such a research topic in the general population, what considerations would you make when designing your study?

3. Lets say you plan to conduct a survey on campus to learn about the political awareness of students. You want to estimate the true proportion of students on campus who voted in the 2019 election with 95% confidence and a margin of error no greater than 5%. How many students must you interview?