A June, 2019 Gallup survey of 1018 randomly selected US adults found that 53% supported the government sponsoring a manned mission to Mars.
a. Construct and interpret a 95% lower confidence bound for the proportion of all US adults who support such a mission.
b. Does your answer to part (a) clearly indicate that a majority of all US adults feel this way (at least as of June, 2019)? Explain.