Question

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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 395 with 356 successes at a confidence level of 99.5%. M.E. = (report answer accurate to one decimal place; answer should be reported as a percent, not a decimal-though do not type the percent sign) Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

Answer 1

given 356 [no. of success Sample mean (X) Sample size m) Sample proportion P = x - 395 356 390 ke . 0.901 At 99.54. Confidence - 1-0.9952 0.003 "2 = 0.0025 260.0025] = 9.807 [wing Z-table mongin of Error (E)= 76,2 | P(1-P) E: 9.807 0.901 (1-0.901) 395 E: 0.0421 Mie: 4.2 %