Math 200 Online Project #2 | Complete Solution

Math 200 Online Project #2

60 points
Submit the project via email in pdf format. Write ‘Math 200 online’ on the subject and nothing else. Name your document with your full name starting with your last name and include your full name in the body of the email (not the subject line). I would name my document moss_cindy.pdf and write Cindy Moss in the body of the email. Two point deduction for not doing this. Sorry but I have too many students to rename all the files.
If you want to turn in a hard copy it must be submitted by noon December 7.
All work must be typed using tables and math symbols using the equation editor when appropriate. Word 2007 and above has an equation editor or you can download Daum Equation Editor https://chrome.google.com/webstore/search/equation%20editor other online equation editors are available online. If you need help using the editor you can come to my office during office hours or I can help you during the Virtual Classroom sessions.
Click here to download the curves. Just copy and paste into your document. You may need to resize them.
If you need a pdf converter, you can download one here. http://www.freepdfconvert.com/ Send the zip file to yourself, open it, rename it in pdf format, then send it to me. Otherwise the file will not come to me in pdf format and the email subject line will not be correct.
Round all answers to 4 decimal places and show all work using hypothesis testing methods outlined on the lecture notes.
The project will be graded on completeness, correctness, and neatness. All work must be shown using correct spelling and grammar in an organized fashion.
Horse Racing
Is there a dependency between the starting gate position and whether a horse finishes in "first place"? If so, which gate(s) are most likely to produce a winner?
The following data represents the starting gate positions and how the horses finished in terms of
Win (first place), Place (second place), or Show (third place) in one year at
Gate
1
2
3
4
5
6
7
8
9
Win
180
223
163
261
149
96
62
44
14
Place
162
227
180
202
158
112
80
52
13
Show
145
188
203
193
139
120
102
80
20
Total Starts
1,189
1,189
1,189
1,189
1,189
1,189
1,167
992
105
1. Fill in the following table.
Gate
1
2
3
4
5
6
7
8
9
Win
180
Not Win
1009
At a 0.05 level of significance, test for independence between starting gate position and whether a horse wins or does not win. Show all the steps outlined in the lecture notes.
2. If a dependency exists between winning and "starting position", find 95% confidence intervals for the percentage of winning for each gate. You can just write the intervals. You do not need to show work.
Gate
95% confidence interval
1
2
3
4
5
6
7
8
9
3. We want to determine which starting position is most probable to produce a winner.
a. Which gate interval has the largest lower limit?
b. Which gate intervals overlap this interval?
c. Using a 0.05 level of significance test whether the proportions of wins from the gates with overlapping intervals are equal to proportion of wins from the gate from your answer to part (a). Do separate hypothesis tests for each using methods from the lecture notes.
4. Conclusion: Which gate(s) are more likely to produce a winner? Explain.