Getting pregnant, how did this happen?

hannah • Mom of three boys and due with #4 in July.
I went to the hospital on 11/11 for swelling in my hand. They wanted to take an x-ray and asked if there was any chance I could be pregnant. I jokingly said I'm still a young woman(32) after all. So I took a pregnancy test. It was neg. My last period started on 10/14 and ended 10/20. On 11/17 I took a preg test because my period was 5 days late. The test was neg. On 11/21 I took two more tests and it was positive. What happened? Could the hospital's test been wrong?