Hypotheses for Project 2 (and Project 3) MTH 207

Hypotheses for Project 2 (and Project 3) MTH 207 Name:
Note: In statistical practice you are required to state hypotheses BEFORE looking at any random data collected. You can’t
explore and describe your sample data and then state hypotheses for inference based on your descriptive statistics. That
is unethical.
Make a copy of this Google Doc. Name the copy YourNameHypotheses. Move the copy into your Statistics Project
folder in your Google Drive.
Use the example in colored font on each page.
Change the example to your own hypotheses using your project variable(s).
Choose which symbol (less than, greater than, not equal to) fits your own alternative hypothesis (mine are just
examples).
By 11:00 PM on Thursday, October 28:
Download the Google doc as a pdf and upload it to the Project 2 Hypotheses Link in Moodle
and
Share your hypothesis Google doc with me [email protected]
1. Hypothesis Test for one mean
The example provided:
Quantitative variable (with units): number of times a Nazareth undergraduate initiates communication with parents per
month
Null Hypothesis in a complete sentence:
A Nazareth undergraduate student initiates communication with parents an average of 4 times per month.
Null hypothesis in symbol notation: 𝐻𝐻0: 𝜇𝜇 = 4
Alternative Hypothesis in a complete sentence:
A Nazareth undergraduate student initiates communication with parents an average of fewer than 4 times per month.
Alternative hypothesis in symbol notation: 𝐻𝐻𝑎𝑎: 𝜇𝜇 < 4
_____________________________________________________________________________________________
Fill in the information below in terms of one of your interesting quantitative variables.
Quantitative variable (with units):
Null Hypothesis in a complete sentence:
Null hypothesis in symbol notation:
Alternative Hypothesis in a complete sentence:
A Nazareth undergraduate student initiates communication with parents an average of fewer than 4 times per month.
Alternative hypothesis in symbol notation:
2. Hypothesis Test for a difference in two means
The example provided:
Quantitative variable (with units): number of service learning experiences
Categorical variable that divides the population into two sub-populations: which College at Nazareth
(Name the two groups)
Group 1: HHS (Health and Human Services) Group 2: Not HHS (CAS, SOE, SBL)
Null Hypothesis in a complete sentence:
The average number of service learning experiences for Nazareth HHS students is the same as the average
number of service learning experiences for Nazareth students from (CAS or SOM or SOE).
Null hypothesis in symbol notation: 𝐻𝐻0: 𝜇𝜇𝐻𝐻𝐻𝐻𝐻𝐻 = 𝜇𝜇𝑜𝑜𝑜𝑜ℎ𝑒𝑒𝑒𝑒
Alternative Hypothesis in a complete sentence :
The average number of service learning experiences for Nazareth HHS students is higher than the average
number of service learning experiences for Nazareth students from (CAS or SOM or SOE).
Alternative hypothesis in symbol notation: 𝐻𝐻𝑎𝑎: 𝜇𝜇𝐻𝐻𝐻𝐻𝐻𝐻 > 𝜇𝜇𝑜𝑜𝑜𝑜ℎ𝑒𝑒𝑒𝑒
_________________________________________________________________________________________
Fill in the information below using one of your interesting quantitative variables and one of your categorical variables
that can be used to form two groups.
Quantitative variable (with units):
Categorical variable that divides the population into two sub-populations:
(Name the two groups)
Group 1: Group 2:
Null Hypothesis in a complete sentence:
Null hypothesis in symbol notation:
Alternative Hypothesis in a complete sentence :
Alternative hypothesis in symbol notation:
3. Hypothesis Test for a proportion
The example provided:
Categorical variable (tell which response is the “success” or desired outcome):
Do you like to cook? (For this study, success is considered the response “yes”.)
Null Hypothesis in a complete sentence:
The proportion of Nazareth undergraduates who like to cook is 0.25
Null hypothesis in symbol notation: 𝐻𝐻0: 𝑝𝑝 = 0.25
Alternative Hypothesis in a complete sentence :
The proportion of Nazareth undergraduates who like to cook is not equal to 0.25
Alternative hypothesis in symbol notation: 𝐻𝐻𝑎𝑎: 𝑝𝑝 ≠ 0.25
Fill in the information below using one of your interesting categorical variables.
Hypothesis Test for a proportion
Categorical variable (tell which response is the “success” or desired outcome):
Null Hypothesis in a complete sentence:
Null hypothesis in symbol notation:
Alternative Hypothesis in a complete sentence :
Alternative hypothesis in symbol notation:
4. Hypothesis Test for a difference in two proportions
The example provided:
Categorical variable: Do you turn the water off when you brush your teeth?
Tell which response is the “success” or desired outcome:
For this study, success is considered the response “yes”.
Different Categorical variable that divides the population into two sub-populations: BS degree or BA degree
Name the two groups
Group 1: BS degree
Group 2: BA degree
Null Hypothesis in a complete sentence:
The proportion of BS students who turn off the water when they brush their teeth equals the proportion of BA
students who turn off the water when they brush their teeth.
Null hypothesis in symbol notation: 𝐻𝐻0: 𝑝𝑝𝐵𝐵𝐵𝐵 = 𝑝𝑝𝐵𝐵𝐵𝐵
Alternative Hypothesis in a complete sentence :
The proportion of BS students who turn off the water when they brush their teeth is greater than the proportion
of BA students who turn off the water when they brush their teeth.
Alternative hypothesis in symbol notation: 𝐻𝐻𝑎𝑎: 𝑝𝑝𝐵𝐵𝐵𝐵 > 𝑝𝑝𝐵𝐵𝐵𝐵
Fill in the information below using two of your categorical variables. One variable must be able to form two groups.
Categorical variable:
Tell which response is the “success” or desired outcome:
Different Categorical variable that divides the population into two sub-populations:
Name the two groups
Group 1:
Group 2:
Null Hypothesis in a complete sentence:
Null hypothesis in symbol notation:
Alternative Hypothesis in a complete sentence :
Alternative hypothesis in symbol notation: