Construct a 95% confidence interval for the proportion and calculate the P value for the given test.
1. In the test of hypothesis Ho : μ = 100 vs H : μ < 100, a sample of size 250 yields the test statistics Z = -1.472 Calculate the P-value for this test.
2. In a random sample of 400 persons who were given a flu vaccine, 136 said that they experienced some type of discomfort. Create a 95 out confidence interval for the proportion of all those who experience some type of discomfort.