(20 points) Two separate random samples of workers from a particular industry were selected with the following Sample 1: 112 workers were selected and it was found that 50 of them preferred working from home to working in a traditional office. Sample 2: The percentage who prefer working from home to working in a traditional office was reported as 50 percent with a margin of error of (plus or minus) 10 percent. (NOTE: Only enter numbers in the blanks provided. For example, to enter "20.3 percent" you would type "20.3" in the blank (just enter the number -- do not type the quotes).) (a) If sample 1 is used to estimate the population percentage, what is the margin of error? Enter the margin of error as a percentage rounded to one decimal place: percent. (b) If sample 2 is used to estimate the population percentage, then an interval that (in the terminology of our formula packet) "almost certainly" contains the true population percentage is: percent to 60 percent. (Enter lower-bound of the interval in the blank.)