hello my name is Donovan Shamon and I have finals coming up this is part of my review can you help me with 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 please show me all the work too please

Scenario 11-1 A well-known chewing gum maker wants to determine if any of its four flavors of gum are more popular than the others. A random sample of 80 people who say they chew gum regularly is asked to identify their favorite flavor of gum. Here are the results: Flavor Peppermint Cinnamon Wintergreen Spearmint Frequency 25 19 22 14 1. Use Scenario 11-1. Which of the following would be an appropriate null hypothesis for the company to test? A. = H2 = P3 = H4 B. The observed counts are all equal to 20. C. Flavor preferences are evenly distributed across the four flavors. D. At least one of the four flavor preferences is different from the other three. E. The observed counts are equal to the expected counts. 2. Use Scenario 11-1. Which of the following are conditions that must be met in order to test this hypothesis using a chi-square test? L. If p = proportion of gum-chewers in the population, then ap 2 10 and n(1- p) 210. II. All expected cell counts are greater than 5. III. Individual observations are independent. A. I and II only B. II and III only C. I and III only D. II only E. I, II, and II . . 1\fScenario 11-3 number of vehicles of each type on each road. The engineers perform a chi'square test of homogeneity, using the null hypothesis that there is no difference in distribution of vehicles types on the four roads. Vehicle type Route 116 Route 176 . Use Scenario ll-3. Forthis chisquare test, what are the com degrees of eedom? A. 3 B. 5 C. 6 D. 11 E. 12 . Use Scenario 11-3. Below are the individual components for the chi-square statistic for this test: Light trucks/SUVS Hea trucks/trailers Based on the original data and the components, which of the following statements is true? A. The observed count of heavy trucks/trailers on Route 176 is much higher than the ~ expected count. . ' B. There are many more light trucks on Route 9 than we would expect if the null hypothesis were true. C. The number ofobserved cars on Route 116 is much lower ianwe would expect ifthe ' null hypothesis were true. ' D. E. The greatest difference between observed and expected counts is for heavy tucks/mailers on Route. The chi-squarestatisticforthistestislessthsnlo.