Question 3.18

3.18 Sampling variability. In thinking about Gallup’s sample of size 1015, we asked, “Could it happen that one random sample finds that 54% of adults feel that childhood vaccination is extremely important and a second random sample finds that only 42% favor one?” Look at Figure 3.2, which shows the results of 1000 samples of this size when the population truth is p = 0.5, or 50%. Would you be surprised if a sample from this population gave 54%? Would you be surprised if a sample gave 42%? Use Figure 3.2 to support your reasoning.