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Owner: sg_lage
Created: Nov 24, 2013
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How Much Money Does a Typical Household Spend on Fast Food, per week
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This report presents data collected from 33 respondents who were asked the following questions regarding money spent on fast food in their household, per week.  The method chosen was convienience sampling.  Participants were chosen from facebook friends who were asked to participate.

 

http://www.statcrunch.com/5.0/survey.php?surveyid=6548&code=JCSGT

1.  How many people are in your household, including yourself?

This type of question represents a quanitative, discrete, ratio level of measurement

2.  Do you regularly eat meals with other members of your household?

This question is a qualitative, nominal type of measurement

3.  On average per week, how many times do you and/or your family eat fast food, either take out or sit in? (Note: Consider fast food to be any meal not prepared inside of your house. In other words, do not include things such as frozen items from the grocery store as fast food)

This is a quanitative, discrete, ratio level of measurement

4.  Estimate, to the best of your ability, the TOTAL amount of money your household spends on fast food per week? (Note: Answers should be given in whole dollars)

This is a quanitative, discrete, ratio level of measurement (continuous)

Here is the raw data collected from the responses

Data set 1. Responses to Fast Food Money spent per Household,   [Info]
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and some summary stats

Result 2: Summary Stats - Fast Food Money   [Info]
Summary statistics:
Column n Mean Variance Std. dev. Std. err. Median Range Min Max Q1 Q3
Fast Food Money 33 57.787879 2252.4223 47.459692 8.2616719 50 200 0 200 25 90

The numbers of interest here are the mean ($57.79) and standard deviation ($47.46)

The mean amount of money ($57.79) suggests that the population has its time heavily invested in things other than home cooking.  The standard deviation of $47.46 suggests a wide spread of spending around the mean ($57.79).

For question 1, the frequency of responses are below

Result 1: Frequency Table - # in House/Fast Food Money   [Info]
Frequency table results for Household Occupants:
Household Occupants Frequency Relative Frequency
1 1 0.03125
2 6 0.1875
3 12 0.375
4 8 0.25
5 4 0.125
6 1 0.03125

And here are questions 2, 3, and 4

Result 3: Frequency Table - Eating Together?/Fast Food Money   [Info]
Frequency table results for Eat Together?:
Eat Together? Frequency Relative Frequency
No 8 0.25
Yes 24 0.75

Result 4: Frequency Table - Fast Food Vists/ Week   [Info]
Frequency table results for Number of Fast Food visits per Week:
Number of Fast Food visits per Week Frequency Relative Frequency
0 2 0.0625
1 6 0.1875
2 7 0.21875
3 3 0.09375
4 6 0.1875
5 5 0.15625
6 1 0.03125
7 2 0.0625

Result 5: Frequency Table - Money Spent on Fast Food/Week   [Info]
Frequency table results for Fast Food Money:
Fast Food Money Frequency Relative Frequency
0 2 0.0625
2 1 0.03125
10 1 0.03125
15 1 0.03125
20 3 0.09375
25 3 0.09375
30 2 0.0625
35 1 0.03125
40 1 0.03125
45 1 0.03125
50 4 0.125
60 1 0.03125
65 1 0.03125
70 1 0.03125
80 1 0.03125
90 1 0.03125
100 4 0.125
150 2 0.0625
200 1 0.03125

Now the main question is what is the mean amount of money spent on fast food per household, per week.  Looking back at table 2, the average household spends roughly $57.79 on fast food per week.  I did find that if I included in my survey question that I was looking for a 'mean' amount of money spent, it appeared that participants trended towards putting the number I stated into their answer.  So I reworded the question to simply state the amount of money spent and answers were more frequently varied.   However, my initial question was to see if the average american household spends more than $20 on fast food, and indeed it does. 

 

The data from question 4 can be visualized here

Result 6: Bar Plot With Data - Money Spent on Fast Food/Week   [Info]
Right click to copy

This is a bar graph summarizing the frequency of responses to the amount of money spent on fast food, per week.  It is distinguishable from a pareto chart in that it is not arraigned by frequency order. 

Perhaps not suprisingly, the amount of money spent varies widely per household.  But digging a bit deeper, lets look at the money spent in relation to household occupants.

 

Result 7: Bar Plot With Data   [Info]
Right click to copy

This is the same bar graph containing question 4 results but the only difference is that it is broken down further by identifying the number of household occupants for every individual response. 

 Interestingly, the number of household occupants didn't seem to be proportional to the amount of money spent.  One respondent from a family of 6 stated that they spent $20 per week.  But a house of 2 reported spending $200/week on fast food.

It is worth considering the question if people in the same house frequently eat together as it may correlate to the amount of money spent on fast food.

Result 8: Pie Chart With Data - Do you eat with people in your house?   [Info]
Right click to copy

This is a pie chart asking respondees if they regularly eat meals with members of their household.  A pie chart is appropriate in this case since the question collects qualitative data (yes/no).  It is also a display of relative frequency since the pie's entirety represents 100% of the population. 

Another population parameter of interest is to see if there is any correlation between the number of people in a house and the amount of times the same house eats out.  The reasoning behind asking this is that perhaps a bigger household would be more likely to order take out because of other obligations

Result 9: Bar Plot With Data - Number Of Fast Food visits per week   [Info]
Right click to copy

This is a bar graph attempting to correlate the number of fast food vists per week to the number of household occupants.  The different colors signify the number of household occupants

There doesn't appear to be any correlation between household size and number of fast food vists.  A larger sample size would be needed to draw any conclusions

Now for the hypothesis test

The claim is that the typical american household spends more than 20.00 per week on fast food

The Null and Alternative hypothesis' follow

Ho= 20.00

HA>20.00

This is a right tailed test since the alternative hypothesis has a greater than form

The sample mean is 57.79, claimed population mean is 20.00, standard deviation is 47.76, and sample size is 33.  Plugging the numbers into the forumla on p.383 yields 4.6 as the standard score.  According to the table 9.1, a standard score of 4.6 provides reason to reject the null hypothesis at both the 0.01 and 0.05 level.  Therefore the alternative hypothesis is accepted.

The mean of 57.79 suggests that the fast food industry plays a significant role in our everyday lives.  A large standard deviation (47.76) suggests, for whatever reason, the amount of money spent on fast food varies widely among households. 

 

When writing the survey I wanted to pick a topic that was relevant to most people and fast food seemed like a good option.  In todays fast paced society, it is worth knowing if people are gradually abandoning the dinner table to keep up in society's rat race.  Indeed, the mean amount of 57.79 is well above the claimed population mean of 20.00.    Some obstacles in putting this project together was choosing the types of graphs to make and learning the terminology of statistics.  If I had to do this project over I would choose more questions to ask participants to get a better feel of the influences that cause people to buy more fast food.  Such questions would be about household income or qualitative questions like do you consider yourself / do you like to cook?

HTML link:
<A href="https://www.statcrunch.com/5.0/viewreport.php?reportid=35620">How Much Money Does a Typical Household Spend on Fast Food, per week</A>

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