Researchers want to determine whether all bags of M&M's® have the same proportion of colors regardless of the flavor of M&M's®. To test this, they sampled randomly king-size bags of each flavor and recorded their findings in the table. Part A: What are the correct degrees of freedom for this table? Part B: Calculate the expected count for the number of green peanut M&M's®. Show your work. Part C: Is there sufficient evidence that there is a difference in the proportion of colors for the different flavors of M&M's®? Provide a statistical justification for your conclusion.

A bag of candy contains 5 different types of colored candies; red, green, blue, yellow, and orange. According to the manufacturer, bags should contain an equal number of each color. Students in a statistics class decided to use a chi-square procedure to test the manufacturer’s claim. They opened a bag of candy and recorded the number of candies of each color. The results are shown in the following table. Red Green Blue Yellow Orange 17 24 20 25 14 Which color contributes most to the chi-square test statistic?     Red A Green B Blue C Yellow D Orange

Question 10   It's hot out there! You made a batch of 24 frozen ice pops and would like to select a group of 3 to test for quality control. How many possible groups of 3 could you select? Group of answer choices 2,090   2,024   506   12,144     Question 11   You are at Walmart buying pool noodles for the summer. You are selecting 5 pool noodles from a bin that contains 9 green noodles, 16 red noodles, 20 blue noodles, and 17 yellow noodles. What is the probability that you select 2 yellow, 1 blue, and 2 red pool noodles? Round your answer to 5 decimal places. Group of answer choices 0.00191   0.00034   0.00168   0.00219   Question 12   The following data represents the popularity of meat pizza toppings during lunch and dinner:   What is the probability that a randomly selected customer orders pepperoni? Round your answer to 4 decimal places. Group of answer choices 0.7077   0.6692   0.4643   0.2759     Question 13   The following data represents the popularity of meat pizza toppings…

Ecologists conducted a study to investigate the potential ecological impact of golf courses. Investigators monitored the reproductive success of bluebirds in birdhouses at nine golf courses and ten similar birdhouses at nongolf sites. Data on nests in birdhouses occupied only by bluebirds are shown in the table. If the proportions of nests occupied is the same for golf and nongolf sites, what would be the expected count of birdhouse with 1 nest in nongolf locations? O nests 1 nest Total 2 or 3 nests Golf 30 42 8 80 Nongolf 40 58 22 120 Total 70 100 30 200 50 b 42 60 d. 58 e 40 O O O O O