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MAT135
Chapter 10 -11 Project
Part I: Full-Time or Part-time?
You are at a meeting for student leaders on campus and you hear Dr. Lindsay say that 64% of
community college students attend part-time.
However, you are on campus every day and you notice a lot of the same people on campus every day as
well. You start to think that the proportion of students who attend part-time is less than 64% (and that
more are full-time). And since you are in a statistics class, you are going to test the above claim…
1. State the null and alternative hypothesis and your alpha-level.
𝐻0 :
𝛼=
𝐻1 :
2. Access the Class Data that you uploaded in StatCrunch. How many students attended
part-time (less than 12 credits)? ___________ How many attended full-time? _________
An important part of data analysis is “cleaning up” the data – making sure that the data
we collected is usable. Are there any pieces of data that you can’t use? List the data entries
that you don’t think you will be able to use and explain why for each.
3. Now that we’ve “cleaned up” the data, complete the following table:
Attendance
Count
Part time
Full time
Total
4. Use the table to calculate 𝑝̂ (the sample proportion of students who attend part-time).
5. Check the assumptions and conditions.
6. Perform the hypothesis test. (Calculate the p-value and compare it to alpha.)
Critical Thinking Questions
8. According to the Fast Facts on the AACC website, 64% of students at AACC attend parttime. Did we make an error? If so was it a Type I or Type II error? Explain your answer.
9. Why do you think there was an error made?
Part 2: Who takes more classes? Men or Women?
For the second part of the project, you are going to find the mean number of credit hours for our
class sample for males and females. Then you are going to test the hypothesis that there is no
difference between the 2 sexes.
1. In the Project Module, download the data titled, Sex and Credits. Save it to your computer
and then upload it to StatCrunch.
2. Do you think, on average, that one sex takes more credits/classes per semester? Why or
why not?
3. Use the data to complete the following table:
Sex
Sample Mean
𝑥̅
Sample Standard
Deviation 𝑠
Males
Females
4. State the null and alternative hypothesis for testing 2 means. State your alpha level.
𝐻0 :
𝛼=
𝐻1 :
5. What type of test will you use?
6. Perform the hypothesis test. (Calculate the p-value and compare it to alpha.)
Female # of Credits
37
13
13
12
12
13
12
12
12
16
12
12
13
12
14
11
8
8
14
5
14
14
13
6
7
6
10
13
3
7
12
12
19
12
13
13
12
13
15
Male # of Credits
11
10
9
16
12
16
12
16
17
13
10
15
12
13
12
13
6
14
12
12
9
4
14
13
5
11
3
13
12
14
12
6
13
9
12
11
12
6
6
6
11
15
11
13
9
6
12
14
2
6
16
5
12
9
13
4
16
12
15
7
7
14
11
6
13
14
10
13
12
12
3
3
17
10
6
7
3
14
8
10
8
3
6
3
3
9
9
3
13
12
7
16
14
7
13
3
3
3
18
3
3
9
7
3
3
14
6
13
15
3
3
10
6
3
6
14
7
6
6
12
7
12
10
4