Not the question you actually asked, but... You told the user to enter "yes" or "no" but only test for y or n - sure, you gave them a hint but users are hint-resistant. So maybe a looser test is in order:
echo "Please enter yes or no (y/n)"
read string
case "$string" in
[yY]* | [nN]*) echo "User entered $string" ;;
*) echo "I don't understand '$string'" ;;
esac
That will recognize any variation that begins with Y or N - usually that's good enough, but you could tighten up the tests. Also, since you'll probably want to do something different with a yes or no response you can expand the case (I've also tightened the tests in this one):
case "$string" in
[yY] | [yY][eE][sS]) echo "Here's where you process yes" ;;
[nN] | [nN][oO]) echo "And here you deal with no" ;;
*) echo "I don't understand '$string'" ;;
esac
You could do this with if statements but I find case more readable when more than two alternatives are possible and the test is appropriate to case syntax.