Week 5 HW P14

# Week 5 HW P14 - Wk 5 Homework Problem 14(Example Your...

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Wk 5 Homework Problem 14 (Example) Your values may be slightly different. We want to use equation 7.8 on page 227. = - ( - ) Z p ππ 1 π n Where: π = 0.60 (Given in the problem statement) p = the proportion asked for in the question. For part a p = 0.64 and 0.57 n = 100 (the sample size) Part a: What is the probability that the sample percentage will be contained between 57% and 64%? Step 1. We need to find the Z value for the two given proportions = . - . . ( - . ) Zupper 0 64 0 600 60 1 0 60 100 = . . 0 040 049 = 0.816 = . - . . ( - . ) Zlower 0 57 0 600 60 1 0 60 100 = - . . 0 030 049 = -0.612 Step 2. We look up the Cumulative Probability for these two Z values in Table E.2 on page 546. (You can find the Cumulative Probability in many different ways.) < . = . PZupper 0 816 0 7939 <- . = . PZlower 0 612 0 2709 Step 3. Subtract the lower from the upper to find the probability between the two. 0.7939 – 0.2709 = 0.523

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Week 5 HW P14 - Wk 5 Homework Problem 14(Example Your...

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