Q1) According to National Institute for Occupational Safety and Health, job stress poses main threat to health of workers. A national survey of restaurant employees determined that 75% said that job stress had negative impact on their personal lives. A sample of 100 employees of restaurant chain determines that 68 answer "Yes" when asked: "Does job stress have negative impact on your personal life?" Is this good reason to think that the proportion of all employees of this chain who would say "Yes" varies from national proportion, p0 = 0.75? Use a 5% level of significance.
Q2) In fiscal 1996, U.S. Agency for International Development provided 238,300 metric tons of corn soy blend (CSB) for development programs and emergency relief in countries throughout world. CSB is a highly nutritious, low-cost fortified food which is partially cooked and can be included into different food preparations by recipients. Specifications for CSB state that mixture must contain 2 pounds of vitamin premix for every 200 pounds of product. These specifications are designed to make a mean vitamin C content in final product of 40mg per 100g. Sample of 8 readings from production run has mean of 22.50mg per 100g with standard deviation of 7.19mg per gram. Is there significant evidence that this production run doesn't meet specifications? Use a 1% level of significance.