Explanation
The type of analysis that would help the BA gain approval to proceed with creating this type of training program for this team is cost benefit analysis, as this is a technique that helps to compare the expected costs and benefits of a proposed solution or change. Cost benefit analysis can help the BA to demonstrate the value and feasibility of the training program, as well as the potential risks and impacts of not implementing it. By showing the positive return on investment and the alignment with the business objectives and needs, the BA can persuade the decision makers and stakeholders to approve the training program. References: The answer can be verified from the following sources:
A Guide to the Business Analysis Body of Knowledge (BABOK Guide) Version 3, Chapter 7:
Strategy Analysis, p. 232-233; Chapter 10: Cost Benefit Analysis, p. 352-355.
Business Analysis for Practitioners: A Practice Guide, Chapter 6: Solution Evaluation, p. 159-160.