Question

A study compared the number of years a person has worked for the same company (X) with the person’s salary in thousands of dollars per year (Y). The data for nine employees appear in the following table. Use the data to answer the questions.

Years	Annual Salary
5	24
8	40
3	20
6	30
4	50
9	40
7	35
10	50

Answer these questions based on the research scenario and the data in this table.

1. What is the research question? What is the research hypothesis? (4 points)

2. What is the independent variable? What is the scale of measurement for the independent variable? (6 points)

3. What is the dependent variable? What is the scale of measurement for the dependent variable? (2 points)

4. What is the research design? (Be specific) (2 points)

5. Test the null hypothesis at the .05 level of significance that there is a significant relationship between the two variables. (Perform all 7 steps of null hypothesis testing

Answer 1

1. What is the research question? What is the research hypothesis? (4 points)

The research question is if there is a significant relationship between the two variables.

1. What is the independent variable? What is the scale of measurement for the independent variable? (6 points)

​​​​​​​The independent variable is the number of years a person has worked for the same company and the scale is interval.

1. What is the dependent variable? What is the scale of measurement for the dependent variable? (2 points)

The dependent variable is the person’s salary in thousands of dollars per year and the scale is interval.

1. What is the research design? (Be specific) (2 points)

​​​​​​​Correlation

1. Test the null hypothesis at the .05 level of significance that there is a significant relationship between the two variables. (Perform all 7 steps of null hypothesis testing

​​​​​​​The hypothesis being tested is:

H0: β1 = 0

H1: β1 ≠ 0

The p-value is 0.1488.

Since the p-value (0.1488) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that there is a significant relationship between the two variables.

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