According to a recent survey of 1200 people, 61% feel that the president is doing an acceptable job. We are interested in the population proportion of people who feel the president is doing an acceptable job. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Which distribution should you use for this problem? (Round your answers to four decimal places.) P'~Cl(:ll:l) Explain your choice. O The standard normal distribution should be used because we are interested in proportions and the sample size is large. O The standard normal distribution should be used because \\/ npq 2 10, which implies a large sample. O The binomial distribution should be used because the two outcomes are "the president is doing a good job" and "the president is not doing a good job." 0 The Student's t-distribution should be used because we do not know the standard deviation