1. Distribution of Colors of M&M's According to the manufacturer, M&M's are produced and distributed in the following proportions: 13% brown, 13% red, 14% yellow, 16% green, 20% orange, and 24% blue. A randomly selected 1.69-ounce bag was opened and it was found to contain the following: 9 brown, 10 red, 11 yellow, 16 green, 5 orange, and 4 blue M&M's. Based on this sample, is there sufficient evidence to conclude that the proportions differ from those stated by the candy company? Use a 0.05.
2. Gun Sale Denials A police investigator read that the reasons why gun sales to applicants were denied were distributed as follows: criminal history of felonies, 75%; domestic violence conviction, 11%; and drug abuse, fugitive, etc., 14%. A sample of applicants in a large study who were refused sales is obtained and is distributed as follows. At a 0.10, can it be concluded that the distribution is as stated? Do you think the results might be different in a rural area? Criminal Domestic Drug Reason history violence abuse etc. Number 120 42 38
3. Tornadoes According to records from the Storm Prediction Center, the following numbers of tornadoes occurred in the first quarter of each of the years 2003-2006. Is there sufficient evidence to conclude that a relationship exists between the month and year in which the tornadoes occurred? Use a 0.05.Tornadoes According to records from the Storm Prediction Center, the following numbers of tornadoes occurred in the first quarter of each of the years 2003-2006. Is there sufficient evidence to conclude that a relationship exists between the month and year in which the tornadoes occurred? Use a 0.05.2006 2005 2004 2003 January 48 33 3 0 February 12 10 9 18 March 113 62 50 43
4. Risk of Injury The risk of injury is higher for males compared to females (57% versus 43%). A hospital emergency room supervisor wishes to determine if the proportions of injuries to males in his hospital are the same for each of four months. He surveys 100 injuries treated in his ER for each month. The results are shown here. At a 0.05, can he reject the claim that the proportions of injuries for males are equal for each of the four months? May June July August Male 51 47 58 63 Female 49 53 42 37 Total 100 100 100 100
5. . A researcher surveyed 50 randomly selected males and 50 randomly selected females to see how they paid their bills. The data are shown. At a 0.01, test the claim that the proportions are not equal. What might be a reason for the difference, if one exists? Type of payment Checks Electronically In person Males 27 15 8 Females 22 19 9 Total 49 34 17