of 2 6. A manufacturer of children's vitamins claims that its vitamins are mixed so that each batch has exactly the following percentages of each color: 20% green, 40% yellow, 10% red, and 30% orange. To test the claim that these percentages are incorrect, 100 bottles of vitamins were pulled and the colors of the vitamins were tallied. The results are listed in the following table. At a a = 0.05 level of significance, determine whether there is sufficient evidence to conclude that the percentages stated by the vitamin manufacturer are incorrect. Green Yellow Red Orange Number 1149 1948 552 1401 7. Can people distinguish dog food from other processed meats? 50 people were given a sample of 5 meats to taste and were asked to choose the one they thought was dog food. The results are listed in the table below. Duck liver Spam Dog food Pork liver Liverwurst Frequency 3 11 8 6 22 Is there significant evidence that people can't tell the difference between dog food and the other processed meats? Use a significance level of a = 0.01. 8. Pollsters want to test if an association exists between a person's profession and his or her political party. A random sample of 236 voters is polled, resulting in the data in the following table. Based on these results, is there enough evidence at the 0.025 level of significance to say an association exists? Democrat Republican Doctor 13 35 Lawyer 33 19 23 25 Teacher 39 11 Farmer Laborer 28 10