So say I got the following output for my binary independent variable:

beta-hat: 0.0093, SE: 0.0873, (95% CI -0.1618, 0.1805), p-value 0.9149.

I have seen the following definition:

"This is the estimated Poisson regression coefficient comparing group 1 to group 0, given the other variables are held constant in the model. The difference in the logs of expected counts is expected to be 0.0093 unit higher for group 1 compared to 0, while holding the other variables constant in the model. This is the estimated Poisson regression coefficient comparing groups, given the other variables are held constant in the model. The difference in the logs of expected counts is expected to be 0.0093 unit higher for group 1 compared to group 0, while holding the other variables constant in the model.

Should I be exponentiating the value and if so what would be my interpretation, just drop the log part in the above statement??

Thx