1. Suppose we want to test 0 : = 0.40 vs. : 0.40 using a sample proportion of 420 out of 1000. You are going to compute the p-value for this scenario 2 different ways, and then set up a confidence interval for in this question.

a. What is the value of the sample proportion, ? Give your answer as a decimal.

Method 1 The p-value from a randomization distribution

b. Find the p-value using a randomization distribution in StatKey.

c. What is the standard error from the randomization distribution in part b?