In a test of the effect of dampness on electric connections, 100 electric connections were randomly tested under damp conditions and 150 were randomly tested under dry conditions. twenty of the damp connections failed and 18 of the dry ones failed. assume the testing conditions are independent. the data are summarized in the following contingency table. failed passed damp 20 80 dry 18 132 source: navidi, m. (2008). statistics for engineers and scientists. new york, ny: mcgraw-hill. report (in standard notation) and interpret a 90% confidence interval for the difference between the true proportions of connections that failed when damp as opposed to when dry. using the 90% confidence interval, can you conclude that the true proportion of connections that fail when damp is significantly different than the true proportion of connections that fail when dry? 1. label the parameters: a. let p be the true proportion of connections that fail when damp. b. let p be the true proportion of connections that fail when dry. 2. propose an appropriate confidence interval: 3. verify the required conditions for the proposed confidence interval: a. independence and randomization assumption: b. normality assumption: