1. (14 points) A national survey of 1050 American adults found that 588 had drunk alcohol in the last month. Construct a 95% confidence interval to estimate the true proportion of American adults who have drunk alcohol in the last month.

State the random variable and the parameter in words.

State the assumptions for the confidence interval.

Find the margin of error,E.

Find the confidence interval.

State the statistical interpretation.

please show all work. If the confidence interval involves the normalcdf formula please explain. Also the assumption for the confidence interval should state if the conditions for the binomial are satisfied and explain why. Thank you!!