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Question

Secure /student/PlayerHomework aspx? homeworkld 4068027908 questionld-9&flushed-false;&cld-; 4284133&centerwin; yes Eva Smith 2/12/17 10:05 PM MAT305-Statistics-02, UG Spring 2017. Session 1 Homework: Week 5 Homework Save HW Score: 31.25%, 5 of 16 pts Score 0 of 1 pt 15 of 16 (7 complete 7.5.28 Question Help In a recent survey of full-time temale workers, 43% said that they would rather give up some of their salary for more personal time. Suppose you select a sample of 100 full-time female workers. Complete parts (a) through (c). Click here to view age 1 of the cumulative standardized normal distribution table a. What is the probability that in the sample, fewer than 48% would rather give up some of their salary for more personal time? (Round to four decimal places as needed. Enter your answer in the answer box and then click Check Answer. parts Clear All Check Answer remaining

Explanation / Answer

(1) n= 100, p = 0.43, q = 1 - p = 0.57

= np = 43, = (npq) = (100 * 0.43 * 0.57) = 4.95

x = 0.48 * 100 = 48

z = (x - )/ = (48 - 43)/4.95 = 1.001

P(x < 48) = P(z < 1.001) = 0.8416

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