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Owner: sseve435
Created: Jul 28, 2014
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Which Pain Medication do you Prefer to take for Headaches?
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Susan Severson

Claim: The proportion of adults that use ibuprofen to treat headaches is more than 50%

Survey:

1). Are you at least 18 years old and no older than 70 years old? Yes or No

         This question gathers qualitative data that is at the nominal level of measurement.

2). What is your gender?

         This question gathers qualitative data that is at the nominal level of measurement.

3). What is your age?

          This question gathers quantitative data that is at the nominal level of measurement.

4).  Which medication do you prefer to take for headaches?

           This question gathers qualitative data that is at the nominal level of measurement.  

5).  Do you follow the directions of dosage for taking the medication?

       This question gathers qualitative data that is at the nominal level of measurement.

Sampling Method: For this survey, I used the convenience sampling method.  I only surveyed people that I am connected to on Facebook.

Cleaned Up Data is attached.

Sample Proportion:

42 adults took this survey. Out of the possible 42 adults, 21 or .50 adults selected ibuprofen as a pain medication to treat headaches. 21/42=.50

Standard Deviation of a sample proportion: 0.077

The Standard Deviation of 0.077 tells us that there was a larger proportion of the students surveyed who used ibuprofen as pain medication to treat headaches than other types of pain medication (Aleve, Aspirin, Tylenol, Other)etc.

Frequency Tables are attached:

Demographic Graph- Gender

This bar graph illustrates the frequency of responses to the question: What is your gender?

Main Topic Graph: Which medication do you prefer to take for headaches?

This bar graph illustrates the frequency of responses to the question: Which medication do you prefer to take for headaches?

Combination Graph: Questions 2-5

This bar graph combines the frequency of questions 2-5 that are listed above.

Hypothesis Test:

Claim: The proportion of adults that use ibuprofen to treat headaches is more than 50%.

Null Hypothesis: The proportion of adults that use ibuprofen to treat headaches is more than 50%.

Ho:p=.5 (Over 50% of adults use ibuprofen to treat their headaches).

Alternative Hypothesis: The proportion of adults that use ibuprofen to treat headaches is less than 50%. Since it doesn't contain an equal sign it is an alternative hypothesis.

Ha: p>.5 (Less than 50% of adults use ibuprofen to treat headaches is less than 50%.

For this test a right tailed test is necessary (>). P > .50

Sample Statistics:

Sample Proportion: 42 adults took this survey. 21/42 or .50 adults selected ibuprofen as their choice of pain medication to treat headaches.

Standard Deviation: 0.077

Calculate Test Statistic:

Use a 0.05 significance level to test the claim that over 50% of adults use ibuprofen to treat their headaches.

Z =  Square Root (.50(1 - .50)/42= 0.077 ( I followed the formula on page 343 "Technical Note Box" since my claim was about proportion).

My standard deviation score value is 0.077

After calculating the data, you should not reject the null hypothesis. According to my claim, the proportion of adults that use ibuprofen to treat headaches is more than 50%. Since my data showed that 50% of adults used ibuprofen to treat headaches instead of other medication, my claim is false, because it is not more than 50%. The standard score of Z= .50 is not greater than than the critical value of Z=1.645 for significance at the 0.05 level, confirming that the result should not cause us to reject the null hypothesis. This is a right tailed test.

Two Paragraphs:

I had a difficult time creating this survey, and determining the difference between my topic sentence and my claim sentence.  At first it was challenging for me to decide on a topic for my survey. Once I decided on the topic (Which Medication do you Prefer to take for Headaches?), I had to decide if I wanted to find out the mean or proportion of my claim.  I never used Statcrunch before so this was a learning experience for me. Creating a survey can be difficult. There are many factors, variables and steps you need to do to make sure everything is accurate. Once I chose my questions for my topic it made it easier for me to focus on creating the survey. I collected the data, created bar graphs, analyzed the data, and wrote a report about the data collected. When I calculated  the population proportion of my survey, I noticed how close my claim actually was to being correct.  The hypothesis test proved that my claim wasn't accurate, but it was very close to my claim. I was happy that 42 adults took my survey so I could gather information and analyze the data.

This project was very interesting and I learned a lot from viewing other people's surveys.  If I had to do another survey, I would pick another topic and choose mean as my claim instead of proportion. I think if I had chosen mean as my claim it would of been easier to analyze the data.  In the future, I would use Facebook again to distribute my survey, because it was fast, accurate and I was able to reach more people.

    

Result 1: Bar Plot With Data from Gender   [Info]
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Result 2: Bar Plot With Data- For Main Topic Question (Which Medication do you prefer to take for Headaches?)   [Info]
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Result 3: Bar Plot With Data- Frequency Table for Questions 2-5   [Info]
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Result 4: Bar Plot With Data for Relative Frequency of Pain Medication Used   [Info]
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Result 5: Summary Stats for What Pain Medication do you use for Headaches?   [Info]
Summary statistics for Response_id:
Group by: Q4 Which medication do you prefer to take for headaches?
Q4 Which medication do you prefer to take for headaches? n Mean Variance Std. dev. Std. err. Median Range Min Max Q1 Q3
1) Ibuprofen 21 261522.48 24095.462 155.22713 33.873337 261450 465 261377 261842 261406 261671
2) Aleve 5 261621.6 108643.8 329.61159 147.40678 261444 768 261385 262153 261393 261733
3) Aspirin 2 261423 2592 50.911688 36 261423 72 261387 261459 261387 261459
4) Tylenol 7 261547.14 14772.143 121.5407 45.938068 261549 342 261402 261744 261451 261644
5) Other 7 261429.57 1630.2857 40.376797 15.260995 261449 91 261384 261475 261386 261465

Data set 1. Cleaned up responses for: Which pain medication do   [Info]
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HTML link:
<A href="https://www.statcrunch.com/5.0/viewreport.php?reportid=41832">Which Pain Medication do you Prefer to take for Headaches?</A>

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