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Determine the sample size needed to obtain an estimate of u if the margin of error E = 0.11, o = 0.95, and the confidence
Determine the sample size needed to obtain an estimate of u if the margin of error E = 0.11, o = 0.95, and the confidence level is 99% (use zo.005 = 2.57). Use Table IV in Appendix C to compute the probabilities. Recall the following definitions from section 8.3 of the text. Given the confidence level and the standard deviation of the population, the sample size that will 2262 produce a predetermined margin of error E of the confidence interval estimate of p is n = E2 where the value of z is obtained from the standard normal distribution (Table IV in Appendix C or by calculator) and the quantity zo, is called the Margin of Error and is denoted by E. Furthermore, is the standard deviation of x. Alternatively, To obtain z from a graphing calculator, we use the formula z = invNorm(1 - a/2, H, () where u is the mean and o is the standard deviation of the normal distribution. For the standard normal distribution u = 0 and o = 1. Recall that in general z = invNorm("area to left of z", u, 6).Your answer is partially correct. It is given that E = 0.11 and o = 0.95. (a) Find a for 99% confidence level. 0.01 (b) Find 1 - a/2. 1 - a/2 = 0.995 (c) Find Za/2 for a 99% confidence level. Za/2= 2.576
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