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
and some summary stats
Summary statistics:

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
Frequency table results for Household Occupants:

And here are questions 2, 3, and 4
Frequency table results for Eat Together?:

Frequency table results for Number of Fast Food visits per Week:

Frequency table results for Fast Food Money:

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
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.
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.
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
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
H_{o}= 20.00
H_{A}>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?
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