In: Statistics and Probability
Two different rifles are tested at the shooting range. Rifle one was fired 190 times and the target hit 158 times. Rifle two was shot 140 times and the target hit 107 times. Use α = 0.05 for the following.
a. Is it reasonable to conclude the rifles are equally accurate? Provide the hypothesis tested, the rejection region employed, the statistic calculated, the p-value and the conclusion reached.
b. Provide the 95% confidence interval on the difference between the two proportion of targets hit.