PLEASE ANSWER THE QUESTIONS IN FULL COMPLETE SENTENCES.

Alden works for the Federal Trade Commission (FTC) in St. Louis. According to a 2018 report (Index #63JW24-2312) on consumer fraud and identity theft written by Aiden, the PFC believed 23% of all complaints in 2017 were for identity theft. Assume a state had 419 complaints of identity theft out of 1930 consumer complaints . (i) Define the variable(s) you will use in your solution. [Defining variables] (ii) By hand, calculate a 95% confidence interval for the proportion of all complaints that are complaints of identity theft in that state. Clearly identify your margin of error value and show how you get the margin of error. Use 2' = 1.96 for your critical z value. Round all intermediate values and final answer to three decimal places. Do not use StatCrunch or other technology to find {he confidence interval. (iii) What is the margin of error for this interval? if you did not do so in part (ii), clearly show how you got this value (without using StatCrunch). (iv) In a complete sentence, interpret the confidence interval using appropriate language, using proper context and units