f. Based on your answers to c-e, could the Secretary of State construct a reliable confidence interval from this sample? (Yes, all three conditions are met.) 2. A large school with 2700 families is considering requiring students to wear uniforms. The PTA mails a questionnaire to all the families, asking how they feel about this policy. 900 of the families return the questionnaire, with 64% of them in favor of uniforms. a. Identify the sample. b. Identify the population. c. Is this sample an SRS? Is it likely to be representative of the population? d. Is n less than 10% of the whole population? Show why or why not. e. How many successes are there in the sample? How many failures? (These are counts, not percentages!) f. Based on your answers to c-e, could the PTA construct a reliable confidence interval from this sample? For problems #3 and #4 below, explain what p represents using context words, and then find p (the proportion observed in the sample). For example, for #2 above: p represents "the true percentage of all school families who are in favor of uniforms." (or true proportion) p = 0.64