I am trying to find the correct way to assess a trend for significance over time. This is the data I have: for a 15 year period I have the fate of all nests in a colony as either failed for fledged. So as an example:
2000 - 25 out of 50 nests successful, 2001 - 35 out of 60 nests successful, and so on for the 15 years.
What I hope to do is to show whether or not there is a significant trend, either positive or negative, for numbers of fledged nests over this 15-year period. I don't think linear regression or Poisson error regression is a way to go since the response isn't really a normal distribution. However, I admit I don't really know. Can someone suggest an appropriate approach if indeed there is one? Thanks.