You are working for a large corporation and oversee a marketing research project. For this study, your questionnaire length is 10 minutes and the incidence is 35%, yielding a CPI is $23.00. Your company requires all research to be at the 95% confidence level, MOE at +/-2%, and to assume a sample statistic of .50 (P and Q = .50). They've given you a budget of $45,000 to complete the survey.
What sample size can you do with this budget, and want is the MOE associated with this sample size? Does this MOE fall within the parameters of the company requirements? What sample size would you need to stay within the company MOE requirements for all research studies and how much budget would you need for this study? Please show all your work.