SAMPLING

            Our sampling was designed to contain as few extraneous factors as possible, and to obtain the most exact information possible with the resources that we have. Our population of interest was North Olmsted High School, and our sample size was 120.

Our goal was to find out if there is an association between a persons gender, and there preferred genre of movie, book, and television. We obtained the samples by first creating the survey below the text. We then put all NOHS students into Minitab, and then used a random number generator to select 120 students to take the survey. Next we put post it notes on the surveys so they would be able to take the note off, and so the person who took the survey would be unknown.

 

                                       Stats Survey                                                      KPGFPM

           

1. Are you male or Female (Circle One)                      Male             Female

 

2. Which type of television do you prefer? (Circle One)

1. Action                2. Romance                  3. Comedy                   4.  Horror                                     5. Non-Fiction      6. Sports                      7. Other

           

3. Which Type of movies do you prefer to watch?

1. Action                2. Romance                  3. Comedy                   4.  Horror                                     5. Non-Fiction      6. Sports                      7. Other

 

4. Which type of books do you prefer to read?

1. Action                2. Romance                  3. Comedy                   4.  Horror                                     5. Non-Fiction      6. Sports                      7. Other

 


 
  

Worksheet 2 (for Chisquare Tests):
#1 = Action and Horror
#2 = Romance and Comedy
#3 = Nonfiction, Sports and Other
Assumptions: Observed Cell counts  are based on a random sample, also counts must be greater than 5 to be considered in the conclusion.
Results For Gender Vs TV Genre,
Null: No association between gender and genre of TV
Alternative: There is an association between gender and genre
alpha= .05

Tabulated statistics: Gender, TV 

Rows: Gender   Columns: TV

           1      2      3    All

f          3     39      5     47
        6.87  30.10  10.03  47.00

m         10     18     14     42
        6.13  26.90   8.97  42.00

All       13     57     19     89
       13.00  57.00  19.00  89.00

Cell Contents:      Count
                    Expected count
X^2 = Sum of all cells [(observed cell count - expected cell count)^2/(expected cell count)]
Pearson Chi-Square = 15.537, DF = 2, P-Value = 0.000
Likelihood Ratio Chi-Square = 16.056, DF = 2, P-Value = 0.000
Conclusion: Since our p value is less than alpha we can reject the null hypothesis at the .05 level of significance. Therefore there is sufficent evidence to support the claim that there is an association between TV genre and gender.
 
Results for Gender VS Movie Genre. 
Null: There is no association between gender and movie genre.
Alternative: There is an association between gender and movie genre.
alpha= .05
Rows: Gender   Columns: Movie

           1      2     3    All

f         15     30     2     47
       16.37  26.93  3.70  47.00

m         16     21     5     42
       14.63  24.07  3.30  42.00

All       31     51     7     89
       31.00  51.00  7.00  89.00

Cell Contents:      Count
                    Expected count
X^2 = Sum of all cells [(observed cell count - expected cell count)^2/(expected cell count)]
Pearson Chi-Square = 2.634, DF = 2, P-Value = 0.268
Likelihood Ratio Chi-Square = 2.676, DF = 2, P-Value = 0.262

* NOTE * 2 cells with expected counts less than 5
Conclusion:  Since our p value is greater than alpha we cannot reject the null hypothesis at the .05 level of significance. Therefore we have insufficent evidence to support the claim that there is an association between movie genre, and gender.
 
Results For Gender VS Book Genre.
null: There is no association between book genre and gender.
Alternative: there is an association is between gender and book genre.
Alpha= .05
Rows: Gender   Columns: Books

           1      2      3    All

f         10     19     18     47
       12.15  14.79  20.07  47.00

m         13      9     20     42
       10.85  13.21  17.93  42.00

All       23     28     38     89
       23.00  28.00  38.00  89.00

Cell Contents:      Count
                    Expected count
X^2 = Sum of all cells [(observed cell count - expected cell count)^2/(expected cell count)]
Pearson Chi-Square = 3.799, DF = 2, P-Value = 0.150
Likelihood Ratio Chi-Square = 3.868, DF = 2, P-Value = 0.145

Conclusion:  Since the p value is greater then alpha we cannot reject the null hypothesis at the .05 level of significance. Therefore there is insufficent evidence to support the claim that there is an association between book genre and genre.
 
Tally for Discrete Variables: Gender, TV, Movie, Books 

Gender  Count    TV  Count    Movie  Count    Books  Count
     f     47     1     13        1     31        1     23
     m     42     2     57        2     51        2     28
    N=     89     3     19        3      7        3     38
                 N=     89       N=     89       N=     89

Results for: Worksheet 1
 
Tally for Discrete Variables: Gender, TV, Movie, Books 

Gender  Count    TV  Count    Movie  Count    Books  Count
     f     47     1      9        1     16        1     14
     m     42     2      8        2      9        2     20
    N=     89     3     49        3     42        3      8
                  4      4        4     15        4      9
                  5      1        5      1        5     11
                  6     11        6      3        6      4
                  7      7        7      3        7     23
                 N=     89       N=     89       N=     89
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