Caitlin,
This is a good question and I did a quick search and couldn't find any specific scripture, maybe someone will have a specific answer. You got me on this one...I'll have to give it some more searching and thought. I could offer my opinion but I think you are looking for something more concrete.
Takesha
Here are some scriptures that state the conditions for answered prayer and may affect prayers being answered. This would suggest to some extent that maybe those who are in the state you mentioned may not receive an answer to their prayer or why their prayers may go unheard...I'll keep looking.
Obedience
1 John 3:22 and receive from him anything we ask, because we obey his commands and do what pleases him.
Confession
Psalm 66:18 If I had cherished sin in my heart, the Lord would not have listened
Abiding in Christ
John 15:7 If you remain in me and my words remain in you, ask whatever you wish, and it will be given you.
According to God's Will
1 John 5:14 This is the confidence we have in approaching God: that if we ask anything according to his will, he hears us.
Asked in faith
Mark 11:24 Therefore I tell you, whatever you ask for in prayer, believe that you have received it, and it will be yours.
Pray in the Spirit
Ephesians 6:8 because you know that the Lord will reward everyone for whatever good he does, whether he is slave or free.
Forgive others
Mark 11:25-26 And when you stand praying, if you hold anything against anyone, forgive him, so that your Father in heaven may forgive you your sins.
Ask in Christ's name
John 14:13-14 And I will do whatever you ask in my name, so that the Son may bring glory to the Father. 14 You may ask me for anything in my name, and I will do it.
Asked with pure motives
James 4:3 When you ask, you do not receive, because you ask with wrong motives, that you may spend what you get on your pleasures.
Live peaceably with one's spouse
1 Peter 3:7 Husbands, in the same way be considerate as you live with your wives, and treat them with respect as the weaker partner and as heirs with you of the gracious gift of life, so that nothing will hinder your prayers.