2. In a report dated January 17, 2018, the Pew Research Center had asked 4914 US adults questions about Science, Technology, Engineering, and Mathematics (STEM) careers. 2478 of the 4914 people answered \"Yes\" to the statement that \"the reason more college students do not pursue degrees in STEM elds is because the courses are too hard.\" (20 pts) a. What is the sample proportion for the percent of the 4914 adults who answered \"Yes\"? What is a 95% condence interval for the percent of all US adults who would have answered \"Yes\"? b. A newspaper reported the results of the survey by stating in a story that \"More than half of adults believe that the difficulty of the courses in STEM are the reason more college students do not major in STEM areas.\" Based on your condence interval, comment on this sentence. 0. If the survey were to be repeated, estimate the sample size required (instead of 4914) so that the study's estimate is within 1.0% of the percent all US adults who would respond \"Yes\" to this statement. Use a 95% condence level