Batrachochytrium dendrobatidis (Bd for short) is a fungal pathogen that has devastated many amphibian populations. In Gamboa, scientists have been tracking the prevalence of the disease. In a 2012 sample of 205 frogs, 26 were infected. In 2014 sample of 84 frag frogs, 22 were infected. Assume these samples represent random samples of the Gamboa population of frogs in 2012 and 2014 . A) Construct and interpret a 95% confidence interval for the true difference in the proportion of frogs infected in Gamboa in 2012 and 2014

B) Does your interval give statistically convincing evidence the proportion of frogs infected in Gamboa change from 2012 to 2014? Explain