1.23) = .8907 P(z ≤ < -1.23) = .1093 P(z .34) = .8907 - .1093 = .7814 P(.26 ≤≤ c. 1.95) = .9744 P(z ≤ < -1.95) = .0256 P(z .34) = .9744 - .0256 = .9488 P(.26 ≤≤ d. 2.76) = .9971 P(z ≤ < -2.76) = .0029 P(z .34) = .9971 - .0029 = .9942 P(.26 ≤≤ e. With a larger sample, there is a higher probability will be within  .04 of the population proportion p. 35. a. The normal distribution is appropriate because = 100(.30) = 30 and - = 100(.70) = 70 are np n(1 p) both greater than 5. b. (.20 .40) = ?   P 2.18) = .9854 P(z ≤ < -2.18) = .0146 P(z .40) = .9854 - .0146 = .9708 P(.20 ≤≤ c. (.25 .35) = ?   P 1.09) = .8621 P(z ≤ < -1.09) = .1379 P(z .35) = .8621 - .1379 = .7242 P(.25 ≤≤ 36. a. This is a graph of a normal distribution with a mean of = .55 and b. Within ± .05 means .50 .60 ≤ ≤ .60) = 1.42) = .9222 - .0778 = .8444 P(.50 P(-1.42 z ≤ ≤
P(z ≤ 1.23) = .8907 P(z < -1.23) = .1093 P(.26 ≤≤ .34) = .8907 - .1093 = .7814 c. P(z ≤ 1.95) = .9744 P(z < -1.95) = .0256 P(.26 ≤≤ .34) = .9744 - .0256 = .9488 d. P(z ≤ 2.76) = .9971 P(z < -2.76) = .0029 P(.26 ≤≤ .34) = .9971 - .0029 = .9942 e. With a larger sample, there is a higher probability will be within  .04 of the population proportion p. 35. a. The normal distribution is appropriate because np = 100(.30) = 30 and n(1 - p) = 100(.70) = 70 are both greater than 5. b. P (.20   .40) = ? P(z ≤ 2.18) = .9854 P(z < -2.18) = .0146 P(.20 ≤≤ .40) = .9854 - .0146 = .9708 c. P (.25   .35) = ? P(z ≤ 1.09) = .8621 P(z < -1.09) = .1379 P(.25 ≤≤ .35) = .8621 - .1379 = .7242 36. a. This is a graph of a normal distribution with a mean of = .55 and b. Within ± .05 means .50 ≤ ≤ .60 P(.50 .60) = P(-1.42 ≤ z ≤ 1.42) = .9222 - .0778 = .8444