In 2000, 62% of the U.S. adult population aged 25 to 54 was married. In random sample of 500 U.S. adults aged 25 to 54 in 2020, 53% were married. Assume the variable is normally distributed. 1. Determine the standard error of the corresponding sampling distribution of sample proportions for samples of size 500. Include the form it takes and its value. 2. Determine the value for za using a confidence level of 99%. 3. Determine the 99% confidence interval for the population proportion, p (Provide the form your interval takes). 4. Write a sentence interpreting the interval you just created. Does your interval contain the value from 2000?