Question

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.
hair and eye color
green eyes
other eye color
total
to the nearest whole percent, what is the value of x in the table?
\\( x = 14\\% \\)
\\( x = 15\\% \\)
\\( x = 16\\% \\)
\\( x = 18\\% \\)

Explanation:

Step1: Calculate total people

$18 + 29 + 114 + 650 = 811$

Step2: Calculate red hair total

$18 + 29 = 47$

Step3: Find x (red hair green eyes % )

$\frac{18}{811} \times 100\% \approx 2.22\%$
Wait, correction: x is likely % of red hair with green eyes relative to red hair total.

Step1: Red hair total

$18 + 29 = 47$

Step2: Compute relative frequency

$\frac{18}{47} \times 100\% \approx 38.3\%$
Wait, correction: x is % of green eyes with red hair relative to all green eyes.

Step1: Total green eyes

$18 + 114 = 132$

Step2: Compute relative frequency

$\frac{18}{132} \times 100\% \approx 13.6\%$
Round to nearest whole percent: 14%

Answer:

x = 14%