BUSINESS
THE HOLLAND SENTINEL
Wednesday, December 8, 2004

Gregordog: No Girls Allowed?
    Statistical study exposes lack of gender diversity at local restaurant

HOLLAND, MI - People in American society today are well aware of gender inequity and the potential problems associated with the issue. Female rights enthusiasts across the country attempt to bridge gender gaps on a daily basis, including those that may exist in the workplace and the education system. We would like to believe that our generation is more sympathetic to female rights than that of our grandparents.

Yet as women strive for professional independence and recognition, their male counterparts have quietly continued to dominate some other, more personal, aspects of life. One such aspect is the fast food industry. This phenomenon can clearly be seen in our own community. Gregordog, an eatery located between Hope College and boisterous downtown Holland, was targeted by a female college student, who asked for anonymity, for further observation. To examine her claim that Gregordog's customer base is predominantly male, she chose to call in the renowned experts at Grand Rapids Extremely Accurate Testing (GREAT) Incorporated. GREAT promptly sent its top young field statistician, Mark Dondero, to the lakeshore to investigate.



Gregordog was founded in 2000 by Greg Vanden Berg, who sought to cater to college students and employers rushed through their lunch hour at work. The cheap, simple menu has helped develop a devoted following in a relatively short time. It is, according to one satisfied male customer, a "nice addition to the restaurants downtown."

Dondero decided to test three stereotypes of the fast food industry at Gregordog: that a larger number of people eat fast food for lunch on a Friday than on a Monday; that a larger proportion of males than females eat fast food for lunch; that the average amount of food (in this case, hot dogs) ordered by males would be larger than the average amount of food ordered by females. Assuming that the stereotypes are incorrect, no significant difference should be found in any of the three studies.

To test his hypotheses, Dondero opted to sit at the counter of the eatery between 11:00 am and 1:00 pm and record the gender and order of the customers. On Monday, November 29 and Friday, December 3 of last week, he conducted data collection as described.

A chi-square test was utilized for analysis of the differences between Monday and Friday. The observed number of customers, 23 for Monday and 29 for Friday, were quite close to the expected number of 26 customers each. A P-value of 0.4054 was obtained. This is well above the P-value of 0.05 required to establish a significant difference. Therefore, Dondero could not conclude that a larger number of people eat lunch at Gregordog on a Friday than on a Monday.

A two-way table was constructed to effectively organize the data by gender.  The proportion of male customers was 0.6538, meaning that about 65% of Gregordog's customers during the observation period were male. The remaining 0.3462, or about 35%, of the customer base was female. Although this study was not specifically interested in the age of the customers, Dondero was quick to point out that almost a third of the 18 female customers were children. In contrast, only two of the 34 male customers were children.

A single proportion test was used to determine if a majority of Gregordog customers are male.  The test yielded a P-value of 0.018. With a P-value so far below the desired value of 0.05, Dondero could safely conclude that a majority of the lunch customers at Gregordog are male. In fact, he is 95% confident that the proportion of customers that are male is between 50.9% and 78.0% on any given day.

A two-sample t-test was performed on the hot dog data to determine if males ordered a significantly larger number of hot dogs. The mean (which is much like an average) number of hot dogs ordered by male customers was 1.912, with a very small standard deviation (average approximate distance of each data point from the mean) of 0.452. Female customers ordered only a mean number of 1.556 hot dogs with a larger standard deviation of 0.984. The t-statistic given by the test was 1.46, with a P-value of 0.080. This P-value was slightly higher than the desired 0.05, so Dondero could not conclude that the average male customer orders more hot dogs than the average female customer.

That said, there were intricate details in the hot dog data that lead Dondero to believe that there is, in fact, a significant trend. "One particular outlier stands out in my mind," he explained. "A female college student came in after class on Friday and ordered 5 hot dogs. Until then, the maximum order I had observed was 3. This could further help us understand why the standard deviation was over twice as large for the females compared to the males." He also contends that another study, one with a larger sample size than his study of 52, would produce better results. "Just because the data did not prove the trend doesn't mean the trend is not there," Dondero insists. "Had I had enough time and money to continue the project for another week or two, I'm confident I would have proved that point. Unfortunately, the data didn't cooperate, as data so often doesn't," he finished with a good-natured chuckle.

The Gregordog study convinced GREAT of the validity of the female student's concerns. Female customers are indeed significantly underrepresented at Gregordog. Gregordog employees declined to comment on the situation, or what will be done (if anything) to help target women. Perhaps they could take an example from Subway, who introduced a hefty beef sandwich in several Southern and Midwestern United States markets in 2000. The sandwich was geared towards the eating habits of working-class men, who had been neglected by Subway's low-fat, heart-healthy stance.

Gregordog could potentially take steps in this direction to attract more female customers. However, for the moment, it is what GREAT affectionately termed a "testosterone-controlled operation." As long as hungry and hurried men seek a fast meal at an affordable price, Gregordog will always have a place in downtown Holland.

APPENDIX A: Data Collected

Day    Gender  # hot dogs  
Monday    M        2      
Monday    M        2      
Monday    M*       1    
Monday    M        1      
Monday    M        2      
Monday    F        1      
Monday    M        2      
Monday    M        2      
Monday    F        2      
Monday    F        1      
Monday    M        2      
Monday    M        2      
Monday    M        2      
Monday    M        2      
Monday    F        2      
Monday    F        2      
Monday    M        3      
Monday    M        2      
Monday    M        2      
Monday    M        2      
Monday    M        2      
Monday    M        2      
Monday    M        1      
Friday    M        3      
Friday    F        5      
Friday    M        2      
Friday    M        2      
Friday    M        2      
Friday    M        2      
Friday    M        2      
Friday    M        2      
Friday    F        2      
Friday    F        1      
Friday    M        2      
Friday    M        2      
Friday    M        2      
Friday    F        2      
Friday    M        2     
Friday    F        1      
Friday    F*       1      
Friday    F        1      
Friday    F*       1      
Friday    M*       1      
Friday    F        1      
Friday    F*       1      
Friday    F        1      
Friday    F*       1      
Friday    F        2      
Friday    M        1      
Friday    M        2      
Friday    M        2      
Friday    M        2     

* Denotes Child


APPENDIX B: Works Referenced

Anderson, Miranda K. "Hot Dog! New restaurant fills niche downtown." Holland Sentinel, Holland, MI. Dec. 17, 2000.
<http://www.hollandsentinel.com/stories/121700/bus _Dog.html>

Thompson, Stephanie. "Subway burger targets working-class men. Introduction of Subway Steakburgers." Advertising Age 71 (Mar. 62000): 3, 63.


APPENDIX C: Goals, Hypotheses, and Results

A) Goals:


What day of the week do people tend to eat lunch (11:00 - 1:00) at Gregordog?
What gender tends to eat lunch at Gregordog? Is there a significant difference between the average numbers of hot dogs ordered by each gender?

B) Hypotheses:

1)  Separate by day of the week
H0:  There is no significant difference between the numbers of people that eat lunch at Gregordog on a Monday and on a Friday.
Ha:  A larger number of people eat lunch at Gregordog on a Friday than on a Monday.

2)  Separate by gender
H0: There is no significant difference between the proportion of males and the proportion of females that eat lunch at Gregordog.
Ha:A larger proportion of males eat lunch at Gregordog compared to the proportion of females.

3)  Separate by number of hot dogs ordered
H0: There is no significant difference between the average number of hot dogs ordered by males and the average number of hot dogs ordered by females.
Ha: Males, on average, order a larger number of hot dogs than females.

C) Results:

1)  Chi-square test: Comparing Day

Monday Observed: 23,   Friday Observed: 29
Monday Expected: 26,  Friday Expected: 26

chi-square = 0.6923 df= 1
P-value = 0.4054

Conclusion:  We cannot conclude that people are more likely to eat lunch at Gregordog on a Friday than on a Monday.


2) Two-Way Table: Comparing Gender


Friday
Monday
Total
Female
13
5
18
Male
16
18
34
Total
29
23
52

Proportion of males: 34/52 = 0.6538


3) Single Proportion Test: Are a majority of customers male?


P-value = 0.018

95% Confidence Interval: (0.509144, 0.780342)

Conclusion:  We can conclude that a larger proportion of males eat lunch at Gregordog compared to the proportion of females.


4) 2-Sample T - Test: Comparing Hot Dogs Ordered

Gender
n
Mean
St. Dev
SE Mean
Male
34
1.912
0.452
0.077
Female
18
1.556
0.984
0.230

t-statistic = 1.46;  P-value = 0.080

Conclusion:  We cannot conclude that males, on average, order a larger number of hot dogs than females.