To determine the value of [tex]\(q\)[/tex] when given [tex]\(p = 0.22\)[/tex], we use the principle that the sum of the frequencies of the two alleles for a given trait must equal 1. This is because the alleles [tex]\(p\)[/tex] and [tex]\(q\)[/tex] represent the complete set of options for that trait.
Here are the steps to solve the problem:
1. Understand the relationship between [tex]\(p\)[/tex] and [tex]\(q\)[/tex]:
- The sum of the frequencies of the two alleles must be 1.
[tex]\[
p + q = 1
\][/tex]
2. Given value:
- We know [tex]\(p = 0.22\)[/tex].
3. Set up the equation to solve for [tex]\(q\)[/tex]:
[tex]\[
0.22 + q = 1
\][/tex]
4. Isolate [tex]\(q\)[/tex] by subtracting [tex]\(0.22\)[/tex] from both sides:
[tex]\[
q = 1 - 0.22
\][/tex]
5. Calculate the result:
[tex]\[
q = 0.78
\][/tex]
Thus, the value of [tex]\(q\)[/tex] is [tex]\(\boxed{0.78}\)[/tex].
By analyzing the given answer choices:
A. 0.88
B. 0.78
C. 0.22
D. 0.47
The correct answer is [tex]\( \text{B.} \quad 0.78\)[/tex].
