1-Assume that a sample is used to estimate a population proportion p. Find the margin of error M.E. that corresponds to a sample of size 296 with 88.9% successes at a confidence level of 99.8%. Report answer accurate to one decimal place (as a number of percentage points). Answer should be obtained without any preliminary rounding (however, the critical value may be rounded to 3 decimal places).

2-Assume that a sample is used to estimate a population mean . Find the 95% confidence interval for a sample of size 37 with a mean of 21.3 and a standard deviation of 11.2. Enter your answer as an open-interval (i.e., parentheses) accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).

95% C.I. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.