Answer:
Step-by-step explanation:
In a World Atlas study, 10% of people have blue eye color. Lane decided to observe 29 people and she concluded 5 people had blue eyes. Calculate the z-score
Given that :
Sample size (n) = 29
Number of people with blue eyes (x) = 5
Proportion (p) = 10% = 0.1
Using the relation :
Z = (p" - p) / sqrt(pq/n)
Recall : q = 1 - p = 1 - 0.1 = 0.9
p" = x / n = 5 / 29 = 0.1724137
pq = 0.1 * 0.9 = 0.09
Hence,
Z = (0.1724137 - 0.1) / sqrt(0.09/29)
Z = 0.0724137 / 0.0557086
Z = 1.2998657
