A random sample of 250 observations is taken from population A, and it is found that 75 of the households in the sample are under the poverty line. A second random sample of 350 observations is taken independently from population B, and it is found that 70 of the households are under the poverty line. Give a 99% confidence interval for the true difference in the proportions of the populations living in poverty for population A and population B. A public opinion polling agency plans to conduct a national survey to determine the proportion of people who would be willing to pay a higher kilowatt hour fee for their electricity provided the electricity was generated using ecologically friendly methods such as solar, wind, or nuclear. How many people must be included in the poll to estimate the population proportion to within plus or minus 0.03, using a 95% confidence interval? Suppose the polling agency has no previous information about the population proportion, Which of the following are properties of a multinomial experiment? Choose all that apply. The probability of getting outcome i is In Every trial results in one of k possible outcomes There are two possible outcomes to a trial: success and failure The trials are independent of one another There are k identical trials @@@O Each trial has the same probability of getting outcome 1