Question

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.1. 0.14282. 0.84523. 0.00414. 0.04304. 0.0430

Answer 1

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