FINAL PROJECT

Objectives

- Identify a hypothesis testing problem in print.

- Conduct a survey to verify or dispute the results of the hypothesis test.

- Summarize the article, analysis, and conclusions in a report.

Instructions

As you complete each task, check it off. Answer all questions in your summary.

_____Find an article in a newspaper, magazine, or on the internet which makes a claim about ONE population mean or ONE population proportion. The claim may be based upon a survey that the article was reporting on. Decide whether this claim is the null or alternate hypothesis.

_____Copy or print out the article and include a copy in your project, along with the source.

_____State how you will collect your data. (Convenience sampling is not acceptable.)

_____Conduct your survey. You must have more than 50 responses in your sample. When you hand in your final project, attach the tally sheet or the packet of questionnaires that you used to collect data. Your data must be real.

_____State the statistics that are a result of your data collection: sample size, sample mean, and sample standard deviation, OR sample size and number of successes.

_____Record the hypothesis test on the solution sheet, based on your experiment.

Do a DRAFT solution first on one of the solution sheets and check it over carefully.

Have a classmate check your solution to see if it is done correctly. Make your decision using a 5% level of significance. Include the 95% confidence interval on the solution sheet.

_____Create a graph that illustrates your data. This may be a pie or bar graph or may be a histogram or box plot, depending on the nature of your data.

Produce a graph that makes sense for your data and gives useful visual information about your data. You may need to look at several types of graphs before you decide which is the most appropriate for the type of data in your project.

_____Write your summary (in complete sentences and paragraphs, with proper grammar and correct spelling) that describes the project. The summary MUST include:

a. Brief discussion of the article, including the source

b. Statement of the claim made in the article (one of the hypotheses).

c. Detailed description of how, where, and when you collected the data, including the sampling technique; did you use cluster, stratified, systematic, or simple random sampling (using a random number generator)? As previously mentioned, convenience sampling is not acceptable.

d. Conclusion about the article claim in light of your hypothesis test; this is the conclusion of your hypothesis test, stated in words, in the context of the situation in your project in sentence form, as if you were writing this conclusion for a non-statistician.

e. Sentence interpreting your confidence interval in the context of the situation in your project

Assignment Checklist

Turn in the following typed (12 point) packet for your final project:

_____Cover sheet containing your name(s), class time, and the name of your study

_____Summary, which includes all items listed on summary checklist

_____Solution sheet neatly and completely filled out. The solution sheet does not need to be typed.

_____Graphic representation of your data, created following the guidelines previously discussed; include only graphs which are appropriate and useful.

_____Raw data collected AND a table summarizing the sample data (n, x¯ and s; or x, n, and p', as appropriate for your hypotheses); the raw data does not need to be typed, but the summary does. Hand in the data as you collected it. (Either attach your tally sheet or an envelope containing your questionnaires.

Univariate Data

- Design and carry out a survey.

- Analyze and graphically display the results of the survey.

Instructions

As you complete each task below, check it off. Answer all questions in your summary.

Decide what data you are going to study.

(Here are two examples, you may use: number of M & M's per bag, number of pencils students have in their backpacks.)

Are your data discrete or continuous? How do you know?

Decide how you are going to collect the data (for instance, buy 30 bags of M&M's; collect data from the World Wide Web).

Describe your sampling technique in detail. Use cluster, stratified, systematic, or simple random (using a random number generator) sampling. Do not use convenience sampling. Which method did you use? Why did you pick that method?

Conduct your survey. Your data size must be at least 30.

Summarize your data in a chart with columns showing data value, frequency, relative frequency and cumulative relative frequency.

Answer the following (rounded to two decimal places):

a. x¯ =

b. s =

c. First quartile =

d. Median =

e. 70th percentile =

What value is two standard deviations above the mean?

What value is 1.5 standard deviations below the mean?

Construct a histogram displaying your data.

In complete sentences, describe the shape of your graph.

Do you notice any potential outliers? If so, what values are they? Show your work in how you used the potential outlier formula to determine whether or not the values might be outliers.

____Construct a box plot displaying your data.

Does the middle 50% of the data appear to be concentrated together or spread apart? Explain how you determined this.

Looking at both the histogram and the box plot, discuss the distribution of your data.