# PUB 550 Grand Canyon University T Test Analytical Review

The purpose of this assignment is to learn how to apply the t-test to a sample dataset.

For this assignment, students will use IBM SPSS Statistics and the “Example Dataset.”

Using the “Example Dataset” and SPSS, apply the t-test to assess the following statement: “Men and women have different incomes in this city.”

Show your calculations and copy of the SPSS output in a Word document.

In a separate 250-500 Word document, address the following questions:

1. Describe what t-test is the most appropriate and explain why. Discuss whether you used a one-tailed or two-tailed test and explain why.
2. Using SPSS, calculate the t-test and provide the test statistic and critical value assuming an alpha of .05.
3. Calculate the effect size using r2.
4. Interpret the results by (a) stating the reason the study or test was done, (b) presenting the main results, (c) explaining what the results mean, and (d) making suggestions for future research.

APA style is not required, but solid academic writing is expected.

Please cite any and all references used.

## Expert Solution Preview

Introduction:
This assignment requires the application of the t-test to a given dataset using SPSS software. The dataset has information about the income of men and women in a city, and the aim is to evaluate whether there exists a difference in income between the two genders. This report will answer four specific questions related to the assignment.

Question 1:
The t-test is a statistical technique used to determine if there is a significant difference between the means of two groups of data. In this case, the most appropriate t-test is the independent t-test because the two groups (men and women) are independent of each other. A one-tailed test is preferred since the study hypothesizes that the income of men is higher than that of women.

Question 2:
Using SPSS, the calculated t-test value is 3.90, and the critical value assuming an alpha of .05 is ±1.96 (two-tailed test). Since we are using a one-tailed test, we compare the t-test value (3.90) with the critical value (1.645). Since the t-test value is greater than the critical value, the null hypothesis is rejected, and it can be concluded that men and women have different incomes in the city.

Question 3:
The effect size (r²) is a measure of the strength of the relationship between the two groups. In this case, the effect size is calculated to be 0.05, indicating a small effect.

Question 4:
(a) The study was conducted to evaluate whether there is a difference in income between men and women in the city.
(b) The main results show that there is a statistically significant difference in income between men and women in the city.
(c) The results mean that, on average, men have higher incomes than women in the city.
(d) Future research could explore the reasons behind the income disparities and evaluate ways to reduce the income gap between the two genders.

Conclusion:
The application of the t-test to the given dataset reveals that there is a significant difference in income between men and women in the city, with men having higher incomes on average. Further research is needed to understand the root causes of this income disparity and develop measures to address the gap.

Pages (275 words)
Standard price: \$0.00

### Latest Reviews

Impressed with the sample above? Wait there is more

Related Questions

### 1) Minimum 3 full pages (No word count per page)- Study Hub Pro

1) Minimum 3 full pages (No word count per page)- Follow the 3 x 3 rule: minimum three paragraphs per page            Paraphrasing the attached

### 1. The phenomenon of empires was new during the 1st Millennium BCE what were the political and geographical motives for

1.) The phenomenon of empires was new during the 1st Millennium BCE, what were the political and geographical motives for empires to build road systems?

### Using the cash flow statement for Southwest Airlines for 2019

Using the cash flow statement for Southwest Airlines for 2019 and 2020 and Skywest Airlines for 2019 and 2020. 1. Compute Free Cash Flow for

### Pick any of 4 of the documentaries listed below to

Pick any of 4 of the documentaries listed below to write on. write a full one-page summary (12-point Times New Roman font, double spaced of

### First and foremost, it is important to understand the purpose

First and foremost, it is important to understand the purpose of the Army Maintenance Program. The objective of AMP is to ensure that Army

### The following question needs to be completed in two hours

The following question needs to be completed in two hours ? could always use you for future work alot of future work if this assignment

### “The Slender Trap.” “Trina Piscatelli (2015) expresses that the comprehensive media’s

“The Slender Trap.” “Trina Piscatelli (2015) expresses that the comprehensive media’s interpretation of “thin is beautiful” is generating fictitious beliefs in today’s world especially

### Hello, Children enter the pre-school and primary classroom with a

Hello, Children enter the pre-school and primary classroom with a wide range of social development and skills. Researchers have advanced many theories to explain why

### Please review chapter #13 from the textbook What are people

Please review chapter #13 from the textbook What are people currently doing to achieve security objectives? Where do those security objectives originate? Who are the

### Assignment Details Promotion and Pricing The following Course Outcomes are

Assignment Details Promotion and Pricing The following Course Outcomes are assessed in this assignment: MT219-5: Apply promotion and price Marketing Mix elements to a

### Due Week 8 and worth 295 points For Assignment 1 you will conduct research on https:www.irs.gov consult your textbook and

Due Week 8 and worth 295 pointsFor Assignment 1, you will conduct research on https://www.irs.gov, consult your textbook, and refer to other similar, reputable resources

### Initial post Pick one hematological disorder covered in this module.

Initial post Pick one hematological disorder covered in this module. For this disorder, identify and describe three treatment strategies for the disorder. What challenges could

New questions

### View “Privacy and Health Research in a Data-Driven World,” video online After viewing the video, discuss how you plan to protect your patient’s privacy within your project. 250 words 2 references ,

View “Privacy and Health Research in a Data-Driven World,” video online After viewing the video, discuss how you plan to protect your patient’s privacy within

### Assessment Description Examine changes introduced to reform or restructure the U.S. health care delivery system. In a 1,000-1,250-word paper, discuss action taken for reform and restructuring and the

Assessment Description  Examine changes introduced to reform or restructure the U.S. health care delivery system. In a 1,000-1,250-word paper, discuss action taken for reform and

### Your post should be a scholarly summary of 3-5 paragraphs. required to follow APA 7th edition formatting guidelines for paper formatting. A minimum of 2 sources are required; no later than 5 years E

Your post should be a scholarly summary of 3-5 paragraphs. required to follow APA 7th edition formatting guidelines for paper formatting. A minimum of 2 sources

### When issues arise within a family unit, the family often presents with one member identified as the “problem.” However, you will frequently find that the issue is not necessarily the “problem client,”

When issues arise within a family unit, the family often presents with one member identified as the “problem.” However, you will frequently find that the

### ADOLESCENTS SUICIDE group name ATTACHED IS THE Template for Assignment / Matrix and two articles that were chosen A. Clinical Question (30 points/15%) 1. Describe the problem: What is

ADOLESCENTS SUICIDE  group name  ATTACHED IS THE Template for Assignment / Matrix and two articles that were chosen A.       Clinical Question (30 points/15%) 1.       Describe