Chicken vs. Steak

BASED ON GENDER

The Study

     We obtained our samples from a random selection of students from North Olmsted High School. Our population of interest was the students at North Olmsted High School. We used minitab output to sort the student list into two separate lists of males and females. Then we used the random sample from columns from minitab to select 75 males and 75 females. Once we got the list of names, we sent surveys to them through their classes that we found on their schedule through the guidance office. The survey was as follows…

 

Circle One:    Male      Female

 

If you were to go to a restaurant and only have three options, which would you prefer:

   chicken   or   steak   or     vegetarian  (circle one)

 

 

Null Hypothesis: There is not an association between gender and meat preference

 

Alternate Hypothesis: There is an association between gender and meat preference

Assumptions: random sample, independent, all of our expected cell counts are 5 or more

 

Alpha = 0.01

Test Statistic:

 

 

Tabulated statistics: Meat, Gender 

 

Rows: Meat   Columns: Gender

 

           F      M    All

 

C         29     10     39
       21.13  17.88  39.00

 

S         23     34     57
       30.87  26.13  57.00

 

All       52     44     96

       52.00  44.00  96.00

 

Cell Contents:      Count
                    Expected count

 

Pearson Chi-Square = 10.787, DF = 1, P-Value = 0.001
Likelihood Ratio Chi-Square = 11.131, DF = 1, P-Value = 0.001

 
Tally for Discrete Variables: Gender, Meat 

 

Gender  Count  Percent    Meat  Count  Percent
     F     52    54.17       C     39    40.63
     M     44    45.83       S     57    59.38
    N=     96               N=     96

 

X²= 10.787 with 1 df

P-value=0.001