(2 points) (Hypothetical.) A box is full of thousands of tickets labeled either 0 or 1. It is believed that the average of all the tickets in the box (that is, the proportion of 1's) is 0.20 or 20%. To test the null hypothesis that 20% of the tickets are labeled 1, we draw 400 tickets at random. Of these, 102 are labeled 1. Round your values to three decimal places. You can choose to work with the sum or the average (that is, the number of 1's or the proportion of 1's); the test statistic will be the same. Use this problem to practice this idea. If the null hypothesis is right, then the expected value of the number of 1's in 400 random draws from this box is with a standard error of . The observed number of 1's is . If the null hypothesis is right, then the expected value of the proportion of 1's in 400 random draws from this box is with a standard error of .The observed proportion of 1's is . The test statistic is . The P-value (using a z-test) is approximately .