Slide 1

Warm-UpAug. 27 th Determine whether each statement is a causation or a correlation. 1.The number of cold snowy days, and the amount of hot chocolate sold at a ski resort. 2.The number of miles driven and the amount of gas used. 3.The number of additional calories consumed and the amount of weight gained. 4.The age of a child and his/her shoe size. 5.The amount of cars a salesperson sells and how much commission he makes. Slide 2 Analyzing Relationships Between Two Categorical Variables Slide 3 Female or Male? Favorite Social Network? No.GenderSocial Media No.GenderSocial Media Slide 4 Handed and Social Media Pie Chart- Only displays one categorical variable. Slide 5 Two Way Table FacebookInstagramSnapchatTwitterTumblrTotal Male Female Total Slide 6 Female or Male? Favorite Social Network? What proportion of students is left handed? Right handed? What proportion of students use each type of social network? What proportion of students are males and use Facebook? What proportion of Facebook users are male? What proportion of Facebook users are female? What proportion of females use Facebook? What proportion of males use Facebook? If we want to determine whether females or males are more likely to use Facebook, which pair of proportions would be more relevant to consider, the questions in four and five, or six and seven? Why? Do you think the difference is significant? Slide 7 Task #9: Titanic Survivors On April 15, 1912, the Titanic sank after tragically striking an iceberg. The two- way table below breaks down the likelihood of survival by class of passenger. Discuss whether the following statement is accurate. If so, use proportions from the table above to support the statement. If the statement is not accurate, explain why? Since more crew survived (212) than any other class, the crew were more likely to survive the sinking than any class of passenger. Slide 8 a)What are the cases in this dataset? What are the variables? b)Determine whether each variable is categorical. c)Which variable is the explanatory and which is the response variable? d)Based on the proportions above, do you believe there is a correlation between class of passenger and survival? If so, is the association causal? Slide 9 Task #10: Vaccine Recipients In a study of 500 children from a city, 238 were randomly selected to receive a new vaccine. The other 262 children were randomly selected to receive a placebo. The children and the physicians did not know to which group they have been assigned. After five years, 22 of the 238 children who received the vaccine had been infected with malaria; while 28 out of the 262 children who received the placebo had been infected with malaria. a)Is this an experiment or an observational study? b)What are the variables? Which are categorical/quantitative? Explanatory/ response? c)Using the information above, set up a two-way table to determine whether the vaccine is effective. d)Use your two-way table to determine whether the vaccine is effective or not. e)Do you believe the vaccine is effective? Slide 10 Task #11: Musical Preferences The 54 students in one of several middle school classrooms were asked two questions about musical preferences: Do you like rock? Do you like rap? The responses are summarized in the table below. a)Is this a random sample, one that fairly represents the opinions of all students in the middle school? b)What percentage of the students in the classroom like rock? c)Is there evidence in this sample of an association in this class between liking rock and liking rap? Justify your answer by pointing out a feature of the table that supports it. d)Explain why the results for this classroom might not generalize to the entire middle school.