Math 146 introduction to statistics
Athlete has Not stretched 1) Use the provided contingency table and expected frequencies. At a: 0.05, test the hypothesis that the variables are independent. Complete Parts (a) through (e) below. (26.000) 186 (189.000) Treatment 2) The contingency table shows the results of a random sample of patients with pain from musculoskeletal injuries treated with acetaminophen or ibuprofen. At a: 0.10, can you conclude that the treatment is related to the result? Complete parts (a) through (e) below. Signific ant improv ement Slight improv ement 3)The contingency table shows the results of a random sample of former smokers by the number of times they tried to quit smoking before they were habit-free and gender. At u=0.10, can you conclude that the number of times they tried to quit before they were habit-free is related to gender? Perform the indicated chi-square independence test by completing parts (a) through (e) below. Number of times tried to quit before habit-free 4 or more 148 79 4) You are investigating the relationship between the ages of adults and what aspect of career development they consider to be the most important. You randomly collect the data shown in the contingency table. At a=0.05, is there enough evidence to conclude that age is related to which aspect of career development is considered to be most important? Perform the chi-square independence test by completing parts (a) through (e) below. Career development aspect Age Learning new skills Pay increases Career path 18-26 years 31 24 21 27-41 years 28 29 32 42-62 years 20 14 7 (a) Identify the claim and state Ho and Ha. 5) A survey was conducted two years ago asking college students their Response Old New Survey top motivations for using a credit card. You think this distribution has Survey % Frequency, f changed. You randomly select 425 college students and ask each one Rewards 28% 112 what the top motivation is for using a credit card. Can you conclude that Low rates 24% 97 there has been a change in the distribution? Use Cash back 22% 107 a=0.025. Complete parts (a) through (d). Discounts 7% 48 Other 19% 61 6) The national distribution of fatal work injuries in a country is show Ca se National Western L] in the table to the right under National %. You believe that the u % Frequency distribution of fatal work injuries is different in the western part of the Transportation 44% 2895 country and randomly select 6231 fatal work injuries occurring in that Equipment 18% 1155 a region. At ssaults 15% 807 ct=0.025 can you conclude that the distribution of fatal work injuries inFalls 14% 750 he west is different from the national distribution? Complete parts a Harmful fumes 6% 535 through d below. Fires 3% 89
