1Tim 2:8 I desire therefore that the men pray everywhere, lifting up holy hands, without wrath and doubting;
What is of first importance in Christian prayer is not what to pray, but rather the holiness of the one praying. Man whom received his sight in John 9 I think accurately expresses the Biblical understanding of this concept, if by "sinners" he's referring to unrepentant sinners where he says, "We know that God does not listen to sinners. He listens to the godly man who does his will." John 9:31 For Isaiah also writes, "Behold, the LORD’S hand is not shortened, That it cannot save; Nor His ear heavy, That it cannot hear. But your iniquities have separated you from your God; And your sins have hidden His face from you, So that He will not hear." Is 59:1, God listening to us is contingent upon our dealing with the issue of our own sinfulness. This is what Paul means when he refers to lifting up holy hands - "hands" representing our deeds, our behavior.
So also the prayer he is advocating here is to be without wrath. There may be some dispute as to what he is referring to here, but it seems to me he may be referring to the kind of prayer which may be characterized as an angry complaint, rather than praying in meekness, in spite of difficult circumstances.
Christians should pray with confidence, believing God in spite of contrary circumstances. For "in him and through faith in him we may approach God with freedom and confidence." Eph 3:12