Exercise 3.1.26 gave the results of a national poll where 65% of a sample of 400 American independent voters responded that they support same-sex marriages. Use the One Proportion applet, repeatedly testing possible values for π, to determine plausible values and construct a 99% confidence interval for π. 

Data from Exercises 3.1.26

In a June 2019 Reuters poll based on a representative sample of 400 American independent voters, 65% responded they support samesex marriages. Now suppose we test the null hypothesis π = 0.50 vs. the alternative hypothesis π ≠ 0.50.