In 1976, when the death penalty was re-instated nationwide, 55% of American adults were in favor of the death penalty. A researcher studying social changes in the American demographic, took a sample of 300 American adults, which revealed that 51% of adults in the sample were in favor of the death penalty.

Construct 90% and 95% confidence intervals for the true proportion of American adults still in favor of the death penalty today. Be sure to provide a proper interpretation of your confidence intervals.