Question

7.3.49 Question Help Given a population in which the probability of success is p0.35, if a sample of 300 items in takon, then complete parts a and b. a. Calculate the probability the proportion of successes in the sample will be between 0.32 and 0.37. b. Calculate the probability the proportion of successes in the sample will be between 0.32 and 0.37 if the sample size is 100.

Answer 1

ܕܘ > P[0:32C $ 00:32 when no 300 Pf 0-32- 0.35 < -0.35 L2.37 -0.35 0.35% 0.65 0.35 x 0.65 0.35x0.65 300 300 P 300 PL - 1.089 < 22 0.7263] where z -0.35 N N604) 0:35x0.65 300 PL 2 20.7263) PL 22 -1.089) 0.766 2 - 0.1381 (using normal Table) P 0:628. b. P P[ 0.3 Â <0.37) 0·32 < when n = loo 0.32 -0.35 0:35 X0.65 100 < Z 30:37 -0.35 0.358o.65 where INCO, 1 PL-0:629 <2 20.4193) 2e -0.355 0.35.80.65 PL 220.4193) - P(20-0624 0.6625 - 0.8647 0.3978 100