We are interested in conducting a study in order to determine what percentage of voters would vote for the incumbent president. What is the minimum size sample needed to estimate the population proportion with a margin of error of 0.01 or less at 90% confidence

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?