A survey was administered to a sample of American college students.  Data was gathered regarding their college major and their choice of writing utensil in completing the survey:   Observed       pen      pencil  marker   crayon   Totals ElemEd           16        12            6              9           43 HealthSci        14        8            14           7             43 DigitalMkt        7          6            11           18           42 Totals              37        26          31           34           128                                                             Expected        pen      pencil  marker crayon ElemEd           12.4     8.7       10.4         11.4     HealthSci        12.4     8.7       10.4         11.4     DigitalMkt        12.1     8.5       10.2         11.2                                                                 Chi-Squared  pen      pencil   marker   crayon ElemEd           1.03        1.22       1.87         0.51     HealthSci        0.20       0.06      1.23        1.71     DigitalMkt        2.18       0.75     0.07         4.20     Test statistic: 15.03                                                                          Use full sentences to address the conditions for validity of the Chi-Squared Goodness of fit and whether they’re met for this particular test. Write out the null and alternative hypotheses for this chi-squared test.

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  1. A survey was administered to a sample of American college students.  Data was gathered regarding their college major and their choice of writing utensil in completing the survey:

 

Observed       pen      pencil  marker   crayon   Totals

ElemEd           16        12            6              9           43

HealthSci        14        8            14           7             43

DigitalMkt        7          6            11           18           42

Totals              37        26          31           34           128

                                                           

Expected        pen      pencil  marker crayon

ElemEd           12.4     8.7       10.4         11.4    

HealthSci        12.4     8.7       10.4         11.4    

DigitalMkt        12.1     8.5       10.2         11.2    

                                                           

Chi-Squared  pen      pencil   marker   crayon

ElemEd           1.03        1.22       1.87         0.51    

HealthSci        0.20       0.06      1.23        1.71    

DigitalMkt        2.18       0.75     0.07         4.20     Test statistic: 15.03 

                                                                       

    1. Use full sentences to address the conditions for validity of the Chi-Squared Goodness of fit and whether they’re met for this particular test.
    2. Write out the null and alternative hypotheses for this chi-squared test.
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