Genesis 39 - Joseph in Egypt

Genesis 39:1 Now Joseph had been taken to Egypt. An Egyptian named Potiphar, an officer of Pharaoh and the captain of the guard, bought him from the Ishmaelites who had brought him there. 2 The Lord was with Joseph, and he became a successful man, serving in the household of his Egyptian master. 3 When his master saw that the Lord was with him and that the Lord made everything he did successful, 4 Joseph found favor in his master’s sight and became his personal attendant. Potiphar also put him in charge of his household and placed all that he owned under his authority.

Potiphar saw that everything Joseph did was blessed by the Lord, so Joseph was placed over Potiphar's entire household.   Joseph was powerful in his master's household.

Genesis 39:5 From the time that he put him in charge of his household and of all that he owned, the Lord blessed the Egyptian’s house because of Joseph. The Lord’s blessing was on all that he owned, in his house and in his fields. 6 He left all that he owned under Joseph’s authority; he did not concern himself with anything except the food he ate.
Now Joseph was well-built and handsome. 7 After some time his master’s wife looked longingly at Joseph and said, “Sleep with me.”
8 But he refused. “Look,” he said to his master’s wife, “with me here my master does not concern himself with anything in his house, and he has put all that he owns under my authority. 9 No one in this house is greater than I am. He has withheld nothing from me except you, because you are his wife. So how could I do such a great evil and sin against God?”
10 Although she spoke to Joseph day after day, he refused to go to bed with her. 11 Now one day he went into the house to do his work, and none of the household servants were there. 12 She grabbed him by his garment and said, “Sleep with me!” But leaving his garment in her hand, he escaped and ran outside. 13 When she saw that he had left his garment with her and had run outside, 14 she called the household servants. “Look,” she said to them, “my husband brought a Hebrew man to make fools of us. He came to me so he could sleep with me, and I screamed as loud as I could. 15 When he heard me screaming for help, he left his garment with me and ran outside.”

If she had screamed as loud as she could, wouldn't the servants have heard that before she called them?  Also, if this had been going on for some time, wouldn't one of the other servants have over heard her at some point?

Genesis 39:16 She put Joseph’s garment beside her until his master came home. 17 Then she told him the same story: “The Hebrew slave you brought to us came to make a fool of me, 18 but when I screamed for help, he left his garment with me and ran outside.”
19 When his master heard the story his wife told him—“These are the things your slave did to me”—he was furious 20 and had him thrown into prison, where the king’s prisoners were confined. So Joseph was there in prison.

Joseph was thrown in prison for a crime he did not commit.  This, however, is still part of God's plan.  If he had not been thrown in jail, he would not have met the officials and interpreted Pharaoh's dream.  So, God had this all planned out to bring glory to his name!

21 But the Lord was with Joseph and extended kindness to him. He granted him favor in the eyes of the prison warden. 22 The warden put all the prisoners who were in the prison under Joseph’s authority, and he was responsible for everything that was done there. 23 The warden did not bother with anything under Joseph’s authority, because the Lord was with him, and the Lord made everything that he did successful.

The Lord made everything Joseph did successful.  Joseph was faithful to God.  He denied sin when the woman asked him to.  Joseph stayed loyal to his master and to God and in turn God blessed him.