Investigation 1: Riding the Gravy Train (no data set) A sample of 300 GMU residential students was randomly selected from the almost 3,800 of all GMU students who live on campus and was asked if they planned to travel off campus for Thanksgiving Break. Of those sampled, 225 stated that they will travel for Thanksgiving Break. a) b) C) d) Calculate the sample proportion of GMU residential students who will travel off campus for Thanksgiving Break. Write one sentence each to check the three conditions of the Central Limit Theorem. Show your work for all mathematical calculations needed to check these conditions. Using the sample proportion obtained in (a), construct a 99% confidence interval to estimate the population proportion of GMU residential students who will travel for Thanksgiving Break. Please do this \"by hand\" using the formula and typing your work. Round your confidence limits to two decimal places. Verify your result from part (c) using Stat 9 Proportions Stats 9 One Sample 9 With Summary. Inside the box, enter the number of successes, the number of observations, select confidence interval, set it to the correct level, and click Compute! Copy and paste your entire StatCrunch result in your document. Interpret the StatCrunch condence interval in part (d) in context of the question. Use one complete sentence for your interpretation. Use the Confidence Interval applet for the proportion (Applets 7" Condence Intervals 9 For a Proportion) in StatCrunch to simulate constructing one thousand 99% confidence intervals. Assume the population proportion of GMU students who will travel for Thanksgiving Break is p = 0.65 and remember our sample size was n = 300. Once the window is open, click \"Reset\" and select (or click) 1000 intervals. Copy and paste your full image into your document. lawman-upwards- Box 1: Enter the given Population: Wu...\" Emma... population proportion, 0.65 P: |:| o From data m Box 2: Enter the glven condence level 0.99 ox 3: Enter the given sample size, n = 300