(2) Goodness of Fit Hypothesis Test, A candy company has specified the color distribution for their newly developed candy. Start by copying the four-column table onto your paper, and fill in the missing information in the last two columns. LI Color Observed Counts Expected Counts (Observed - Expected) Categories (in Random Sample) (based on null Hypothesis) Expected Purple 70 16 * 500 = Yellow 66 12 * 500 - Red $5 10 * 500 = Blue 117 25 * 500 = Orange 95 20 * 500 = Sage 97 17 * 500 = Total = 500 Total = Total = Steps 1-2 have been completed for you. Step 1: State the null Hypothesis He: The colors for the new candy are distributed according to the company's specifications (16% purple, 12% yellow, 10% red, 25% blue, 20% orange, 17% sage) Step 2. State the alternative Hypothesis Hi: The colors for the new candy are not distributed according to the company's specifications. Do Steps 3-4 and write the Conclusion Step 3. Draw, shade, and label the Chi-Square x" Curve, with Level of Significance = .05 and right-tailed. Step 4. Is the Random Sample mean Unusual under assumption of the null Hypothesis? Make sure to plot and label the correct random sample test statistic on your graph. Write the Conclusion (two statements)