Given The Following Data Treadmill Exercise Bike T

Given the following data TreadmillExercise BikeTotal Sold185(n1)123(n2)Service Contract67(x1)55(x2)Where: n1, n2 are sample sizes ; x1, x2 are observations of our interestAssumptions: We assume that x1, x2 are independent, binomial random variable with parameters (n1, p1) and (n2, p2) respectivelyThen:Shows is distributed approximately as standard normal distributionFrom z table we obtain Margin Error =CI is given by Lower Limit Upper limit 95% CI for (-0.197, 0.027)Shows is distributed approximately as standard normal distribution There is no major difference between the two pieces of equipments Reasons: 1. The range of difference of proportion (p1-p2) s insignificant ie there is 95% confident that the difference between the proportions of service contracts sold on treadmills versus exercise bikes is in between -0.197 and 0.027 2. The range include “zero”