Q3) If we conduct a survey by asking 120 Thai people that do they prefer mRNA vaccine to other types of vaccine. The results show that 83 answer YES. Construct a 92% confidence interval estimate for the proportion of Thai people who prefer the mRNA vaccines. Q3.1) What distribution would you use in constructing the confidence interval? A. Exponential distribution B. Uniform distribution C. Normal distribution D. t-Distribution E. F-distribution Type one letter (no dot) in uppercase (CAPITAL) of the choice you answer: Q3.2) What would be the lower bound (the left value) of the confidence interval? Q3.3) What would be the upper bound (the right value) of the confidence interval? Q4) Regarding the sample size and the confidence interval, provided other factors remain constant. Q4.1) The width of the interval will if we the sample size What would we be the right words to be filled into the blanks A. increase, increase B. decrease, decrease C. decrease, increase D. not change, increase E. not change, decrease F. increase, not change G. decrease, not change Type one letter (no dot) in uppercase (CAPITAL) of the choice you answer:Q4} Regarding the sample size and the condence interval, provided other factors remain constant. Q41) The width of the interval will ____ if we ______ the sample size What would we be the right words to be lled into the blanks A. increase. increase B. decrease, decrease C. decrease, increase D. not change. increase E. not change. decrease F. increase. not change G. decrease, not change Type E of the choice YOU answer: . l 04.2) The machine lling M&M beans into a bag has a standard deviation of 8 beans. We want to estimate, with 88% condence, the population mean number of M&M beans in the bag. If we want the error to be within +- 3 beans. determine the sample size. Q43) Due to the Covidl'? situation, the student's perspective about doing an internship may not be the same as what it was before. We want to construct a 91% condence of estimating the proportion of students who wants to do an internship before graduation. If we want the error to be within 0.1, what would be the sample size