Course: Introduction to Statistics (Bus-172) Answer all the questions. Question: 1 Seventy percent of the adults in Bangladesh favor some kind of government control on the prices of medicines. Assume...

Extracted text: Course: Introduction to Statistics (Bus-172) Answer all the questions. Question: 1 Seventy percent of the adults in Bangladesh favor some kind of government control on the prices of medicines. Assume that this percentage is true for the current population of all adults. Let p be the proportion of adults in a random sample of 200 who favor government control on the prices of medicines. (a) Find the mean and standard deviation of the sampling distribution of p. (b)Find the probability that the sample proportion p is at least 72%. (c) Find the probability that the sample proportion p is within 0.05 of the population proportion. (d) Comment on the shape of the sampling distribution of p. Justify your answer. State two properties of the type of distribution you assumed here. Formulae: µx = µ, 0g = Hô = p, Op z = え z = p – Hp z = Op