yolanda wanted to see if there was a connection between red hair and green eyes. she observed people walking…

yolanda wanted to see if there was a connection between red hair and green eyes. she observed people walking past her on the street and noted their hair and eye color. red hair green eyes: 18 eye color other than green: 29 hair color other than red green eyes: 114 eye color other than green: 650 consider the relative - frequency table. to the nearest whole percent, what is the value of x in the table? x = 14% x = 15% x = 16% x = 18% hair and eye color green eyes other eye color total

yolanda wanted to see if there was a connection between red hair and green eyes. she observed people walking past her on the street and noted their hair and eye color. red hair green eyes: 18 eye color other than green: 29 hair color other than red green eyes: 114 eye color other than green: 650 consider the relative - frequency table. to the nearest whole percent, what is the value of x in the table? x = 14% x = 15% x = 16% x = 18% hair and eye color green eyes other eye color total

Answer

Explanation:

Step1: Calculate total number of people

First, find the total number of people observed. Add all the counts: $18 + 29+114 + 650=811$.

Step2: Calculate relative - frequency of red - haired people with green eyes

The number of red - haired people with green eyes is 18. The relative frequency $x$ is calculated as $\frac{18}{811}\times100%$. $x=\frac{18}{811}\times100%\approx 2.22\times100% = 2.22%$ (This is wrong. We assume $x$ is the relative frequency of red - haired people among those with green eyes). The number of people with green eyes is $18 + 114=132$. $x=\frac{18}{132}\times100%=\frac{1800}{132}% \approx 13.64%$. Rounding to the nearest whole percent, $x = 14%$.

Answer:

$x = 14%$