Researchers designed an experiment to study the effects of caffeine withdrawal. They recruited 23 volunteers who were diagnosed as being caffeine-dependent to serve as subjects. Each subject was barred from coffee, colas, and other substances with caffeine for the duration of the experiment. During a two-day period, subjects took capsules containing their normal caffeine intake. During another two-day period, they took placebo capsules. The order in which subjects took caffeine and the placebo was randomized. At the end of each two-day period, a test for depression was given to all 23 subjects. Researchers wanted to know whether being deprived of caffeine would lead to an increase in symptoms of depression at a level of significance 0.03. The data set is in the Google Spreadsheet. The higher scores show more symptoms of depression. Data: Google Spreadsheet (https://docs.google.com/spreadsheets/d/1ywBnRezXnu3BEqCwfe2D-enDUlaq3LEsF-_LWiaL0Dk/edit#gid=0) GeoGebra Spreadsheet (https://www.geogebra.org/classic#spreadsheet) GeoGebra Probability Calculator (https://www.geogebra.org/classic#probability) Carry out a test to investigate the researchers' questions. Step 1: State the claim and its opposite. Identify which is the null hypothesis and which is the alternative hypothesis. Step 2: Determine which hypothesis test you will use and check conditions. Step 3: If the conditions are met, perform the calculations, and conduct the test. Include the test statistic and the P-value. Step 4: State the result and interpret your result in the context of the problem. In the conclusion, please make sure to address this question: why did researchers randomly assign the order in which subjects received placebo and caffeine? Upload an image of your Geogebra work to illustrate all the steps need for this