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1. Suppose a marketing company did a survey. They randomly surveyed 200 households and found that in 120 of them, the woman made the majority of the purchasing decisions. We are interested in the population proportion of households where women make the majority of the purchasing decisions. [4 marks] a. Define the random variables X and p'in words. b. Which distribution should you use for this problem? c. Construct a 95% confidence interval for the population proportion of households where the women make the majority of the purchasing decisions. State the confidence interval, sketch the graph, and calculate the error bound. d. List two difficulties the company might have in obtaining random results, if this survey were done by email