Identifying Statistical Tests (A)
A New York school district wants to study anxiety among students. A research measures anxiety levels among a sample of 5,000 8th grade students at the end of the school year and re-measures their anxiety levels at the end of their 9th grade year
Dependent-samples t-test
A researcher wants to determine if college students who studied abroad experienced significantly more sexual assaults than college students who did not study abroad
Independent Samples T-Test
Explain in what situation we would use a Pearson Product Moment Correlation
When examining the relationship between two continuous variables
Explain in what situation we would use a One-Sample Chi-Square
When the data are categorical and we are examining differences in frequencies
Who is the creator of the One-Sample Chi-Square Test
A researcher was interested in determining if there were differences in the number of robberies based on the type of area: suburban or urban. The researcher compared the mean number of robberies in the past 6 months for 15 urban areas and 15 suburban areas.
Independent Samples T-Test
The Department of Health and Human Services wants to know if the mean number of mental health-related arrests in Boston is significantly different from the mean number of mental health-related arrests for all in the state of Massachusetts.
One Sample Z-Test
Identify the obtained value from the following Excel Output
r = 0.7071
Identify the obtained value from the following Excel Output
OV = 17.96
What are the three requirements for a causal relationship?
1) Statistical Correlation (Relationship)
2) Temporal Order
3) Lack of Spuriousness
A researcher is interested in assessing the relationship between average community police satisfaction scores and the assault rate within a sample of communities
A researcher wants to examine the frequency with which the police are called to the Stoney Creek Brewery, Thimble Island Brewery, and the Brewport Brewing Company
One-Sample Chi-Square
Using the correlation table, identify the correct critical value for the provided Excel Output.
CV = 0.2732
Using the Chi-Square table, identify the correct critical value for the provided Excel Output.
CV = 9.49
The Coefficient of Determination (r2)
A researcher from the University of New Haven is interested in determining if there is a significant difference in the frequency with which freshmen, sophomores, juniors, and seniors violate the COVID-19 policies on campus.
One-Sample Chi-Square
Tourism contributes significantly to each Maine county’s annual budget, and a researcher employed by Knox County is interested in comparing their mean annual tourist revenue to the mean for all Maine counties.
One-Sample Z-Test
Using the provided Excel output, write the test string that would appear at the end of a hypothesis test write-up.
r(50) = 0.7071, p < 0.05
Using the provided Excel output, write the test string that would appear at the end of a hypothesis test write-up.
χ2(4) = 17.96, p < 0.05
Fill in the Blank: Statistical tests that make assumptions about the distribution of scores are known as _______ tests.
Parametric Tests
The director of the Michigan Department of Corrections wants to determine if Crisis Response Teams reduced the number of opioid-related inmate deaths. To test this question, a researcher compares the number of opioid-related deaths two years before and two years after the creation of the Crisis Response Teams.
Dependent Samples T-Test
"The IRS is concerned about individuals not reporting the correct amount on their taxes. To identify the extent of tax fraud, a researcher with the IRS audits 100 millionaires in 2021 and another 100 millionaires in 2022 and compares the extent of fraud for both groups."
Independent-Samples T-Test
Calculate and interpret the Coefficient of Determination using the provided Excel Output
CoD = 0.50
Relationship magnitude = Moderate
50% of the variability in Variable Two is explained by Variable One
Utilizing the provided standardized residuals, identify which towns are considered significant
Friendship
Fill in the Blank: The One-Sample Chi-Square requires a post-hoc test when significant because this test is considered an _______.
Omnibus Test