A senior sales executive in a company that sells services to small businesses was approached by a sales training vendor. The vendor offers training to help \"inside" (phone) sales representatives convert leads into customers. The sales executive decided to conduct a test at one call center by selecting a random sample of representatives to receive the training, then tracking conversions for representatives who did and didn't receive the training. In the two weeks following the training, those sales representatives who received the training converted 289 of the 1760 leads assigned to them. During the same time period, the sales representatives (at the same call center) who did not receive the training converted 557 out of the 4332 leads assigned to them. a. In the Final Exam Workbook. you will nd a 2X2 contingency table with sales training (YeslNo) by row and conversion (YeslNo) by column. Complete the contingency table with actua;I frequencies (not probabilities). including joint and marginal frequencies, using the information given. b. New compute the expected frequencies, assuming independence. of sales training (YesiNo) and conversion {YesINo}. c. Use the expected and actual frequencies to determine ifconversion depends on whether or not a representative received sales training. Specically, report the appropriate test statistic, the p-value for that test statistic and your conclusion at the a = .05 level, based on that pvalue. Now compute the probability that a representative who received the sales training converts any given lead. Then compute the probability that a representative who did not receive the sales training converts any given lead. If all sales representatives who did not receive sales training had actually received the training, how many more leads would they have converted during the two-week test period