Use the following information to answer the next five exercises. Suppose the marketing company did do 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. 64. Identify the following: a. X= b. n = C. P = 65. Define the random variables X and P in words. 66. Which distribution should you use for this problem? 67. 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. 68. List two difficulties the company might have in obtaining random results, if this survey were done by email. Use the following information to answer the next five exercises: Of 1,050 randomly selected adults, 360 identified themselves as manual laborers, 280 identified themselves as non-manual wage earners, 250 identified themselves as mid- level managers, and 160 identified themselves as executives. In the survey 82% of manual laborers preferred trucks, 62% of non-manual wage earners preferred trucks, 54% of mid-level managers preferred trucks, and 26% of executives preferred trucks. 69. We are interested in finding the 95% confidence interval for the percent of executives who prefer trucks. Define random variables X and P in words. 70. Which distribution should you use for this problem? 71. Construct a 95% confidence interval. State the confidence interval, sketch the graph, and calculat the error bound. 72. Suppose we want to lower the sampling error. What is one way to accomplish that? 73. The sampling error given in the survey is 12%. Explain what the 12% means. poll of 1.200 voters asked what