In a World Atlas study, 10% of people have blue eye color. Lane decided to observe...
In a World Atlas study, 10% of people have blue eye color. Lane decided to observe 35 people and she concluded 5 people had blue eyes. Calculate the z-score.
1. 0.1428
2. 0.8452
3. 0.0041
4. 0.0430
4. 0.0430
Homework Answers
Answer: 2. 0.8452
Solution:
The required formula is given as below:
Z = (p̂ - p)/sqrt(pq/n)
We are given
x = 5
n = 35
p̂ = x/n = 5/35 = 0.142857
p = 0.10
q = 1 - p = 1 - 0.10 = 0.90
Z = (0.142857 - 0.10)/sqrt(0.10*0.90/35)
Z = 0.845151
Z = 0.8452
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