Assignment 1 For this assignment, you will use the dataset Arrests_by_marijuana, available on Brightspace. 1) Extract the possible central tendency and dispersion measures, as well as frequency tables, of the following variables: (a) Released (1.25) (b) Age (1.25) (c) Colour (1.25) (d) Checks (1.25) Explain why you chose certain measures or not for each variable. 2) Is there a statistically significant relationship between someone's colour and being released after an arrest for the possession of marijuana? Use SPSS to answer this question and to evaluate the strength of a possible relationship (5.0) 3) Recode the variable Checks into a nominal variable with only two groups: "had a check" and "did not have a check". Name this variable as "check or not" (5.0) 4) Extract the chi-square of the new variable "check_or not" with the variable released, to verify if there is a significant relationship, and how strong it is, between having one's name in a police database and being released with a summons after a marijuana possession arrest (5.0) Arrests for Marijuana PossessionDescription Data on police treatment of individuals arrested in Toronto for simple possession of small quantities of marijuana. The data are part of a larger data set featured in a series of articles in the Toronto Star newspaper. Usage Arrests Format A data frame with 5226 observations on the following 8 variables. released Whether or not the arrestee was released with a summons; a factor with levels: No; Yes. colour The arrestee's race; a factor with levels: Black; White. year 1997 through 2002; a numeric vector. age in years; a numeric vector. sex a factor with levels: Female; Male. employed a factor with levels: No; Yes. citizen a factor with levels: No; Yes. checks Number of police data bases (of previous arrests, previous convictions, parole status, etc. 6 in all) on which the arrestee's name appeared; a numeric vector Source Personal communication from Michael Friendly, York University. Examples summary(Arrests)X Arrests_by_marijuana.sav [DataSet1] - IBM SPSS Statistics Data Editor File Edit View Data Transform Analyze Graphs Utilities Extensions Window Help + Align Measure Type Width Decimals Label Values Missing Columns Name None None 8 Right Scale 1 V1 Numeric 4 None None 10 Left Nominal released String 0 Was the arrestee released with a summons: yes or no None None 11 =Lef Nominal AWN colour String Race: Black or White None None 8 Right Scale year Numeric 4 1997 through 2002 None None CO Right Scale age Numeric 2 Age: In years None None 6 Left Nominal O sex String Female or male None None 10 Left Nominal employed String Employed: yes or no OO None None 9 Left Nominal citizen String Citizen: yes or no None Right Scale 4 00 checks Numeric 1 Number of police data bases (of previous arrests, previous convictions, parole status, etc. - 6 in all) on which the arrestee's name appeared None 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 Data View Variable View IBM SPSS Statistics Processor is ready Unicode:ON Classic Information area