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

First, sum all observed people:
$18 + 29 + 114 + 650 = 811$

Step2: Find red hair total

Sum red hair groups:
$18 + 29 = 47$

Step3: Compute relative frequency for x

x is the relative frequency of red hair + green eyes:
$\frac{18}{811} \times 100\% \approx 2.22\%$
Wait, correction: x is likely the relative frequency of green eyes among red hair.

Step1 (Revised): Red hair total

Sum red hair counts:
$18 + 29 = 47$

Step2 (Revised): Calculate x

x = (Green eyes red hair / Total red hair) ×100%:
$\frac{18}{47} \times 100\% \approx 38.3\%$
Wait, correction: x is the relative frequency of red hair + green eyes out of total people? No, recheck: total green eyes is $18+114=132$, total people 811. No, the question is x as relative frequency of red hair and green eyes in the table.

Step1: Calculate total surveyed

$18 + 29 + 114 + 650 = 811$

Step2: Compute x (relative freq)

x is $\frac{18}{811} \times 100\%$? No, wait, x is the relative frequency for red hair and green eyes in the joint relative frequency table. Wait, no, the table's x is the relative frequency of red hair with green eyes compared to total? No, no, the options are 14-18, so x is the row relative frequency for green eyes in red hair? No, 18/47 is 38, not matching. Wait, total green eyes is 18+114=132. x is 18/132 ×100% ≈13.6% ≈14%

Step1: Total green eyes count

$18 + 114 = 132$

Step2: Calculate x (relative freq)

x = (Red hair green eyes / Total green eyes) ×100%:
$\frac{18}{132} \times 100\% \approx 13.6\% \approx 14\%$

Answer:

x = 14%