A recent survey by the Indiana State University Department of Athletics aims to evaluate the popularity of its mascot, Sycamore Sam within its community.The department interviews 250 randomly selected individuals in the community of 13000, and finds that 175 are fond of the "woodland creature" mascot.Based on the information given, can we assume the sample distribution of sample proportions will follow a Normal model?Answer by listing, and evaluating, the 4 conditions necessary using complete sentences.