Activity 4: Using the empirical rule to estimate p-values

Activity 4: Using the empirical rule to estimate p-values 68% 95% 34% 34% 99.7% 2.5% 13.5% 13.5% 2.5% -2 -1 0 1 2 3 -3 -2 -1 0 1 2 3 Use the above figures of the standard normal distribution to reason out the p-values for each of the below hypothesis tests and standardized test statistics. You are strongly encouraged to draw the p-values on the provided standard normal -2 -2 -2 -1 1 2 1. Assume we are testing: Ho: p= 0.30 versus Ha: p > 0.30 a. z= 2.0 i)p-value= 0.135 ii) p-value = 0.025 iii) p-value = 0.160 b. z =1.1 i) p-value=0.136 ii) p-value=0.184 iii) p-value=0.018 12/15/18 - Pennsylvania State University LAB 6.1 & 6.3 c. z= -1.7 i) p-value=0.955 ii) p-value=0.045 iii) p-value=0.758 68% 95% 34% |34% 99.7% 2.5% 13.5% 13.5% 2.5% -3 -2 -1 0 1 2 3 -3 -2 -1 0 1 2 3Use the above figures of the standard normal distribution to reason out the p-values for each of the below hypothesis tests and standardized test statistics. You are strongly encouraged to draw the p-values on the provided standard normal distributions. -3 -2 -1 0 1 2 3 -3 -2 -1 0 1 3 -3 -2 -1 0 1 2 3 2. Assume we are testing: Ho: P1-P2 = 0 versus Ha: p1-P2 # 0 a. z=-1.6 i) p-value=0.110 ii) p-value=0.945 iii) p-value=0.055 b. z =1.1 i) p-value=0.136 ii) p-value=0.368 iii) p-value=0.271 c. z = 2.5 i) p-value=0.006 ii) p-value=0.134 iii) p-value=0.012