Exam 1

  1. Metainformation

    Tag Value
    fileInferential_Statistics_vufsw-chi-squared-1129-en_vufsw-chi-squared-1129-en
    namevufsw-chi-squared-1129-en
    sectioninferential statistics/nhst/test statistic/chi-squared
    typeschoice
    solutionFALSE, FALSE, TRUE, FALSE
    Typetest choice
    ProgramNA
    LanguageEnglish
    Levelstatistical literacy

    Question

    Is alcohol consumption at the age of 16 dependent on the socio-economic status (low, middle, high) of their parents? A study of 150 16-year-olds gives the following data:


    socio-economic status parents

    low middle high total
    alcohol consumption



    no 22 52 16 90
    yes 23 23 14 60
    total 45 75 30 150

    To answer the research question which test should be used with how many degrees of freedom?


    1. FALSE: A t-test with 2 degrees of freedom
    2. FALSE: A t-test with 149 degrees of freedom
    3. TRUE: A chi-square test with 2 degrees of freedom
    4. FALSE: A chi-square test with 149 degrees of freedom

    Solution

    Here you have a categorical association. The test you have to do is the chi-square test, a t -test is for comparing two groups, here you have a categorical association.

    Degrees of freedom= (number of rows-1)(number of columns-1) = (2-1)(3-1)=1*2=2.

    If you want to know more about categorical associations watch this clip

    If you want to know more about the chi-square test and degrees of freedom watch this clip

    Levels of Difficulty
    Difficult

    M&T Model selection
    Default value

    M&T Non-parametric test
    Default value


    1. False
    2. False
    3. True
    4. False