A Social Psychologist's Study on Leadership Style and Worker Productivity
Hypothesis Testing for Leadership Style and Worker Productivity:
Step 1: State the Research Question and Hypotheses:
Research Question: Does the leadership style (democratic vs. autocratic) significantly affect the productivity of workers in assembling fax machines?
Null Hypothesis (H0): There is no significant difference in the average number of fax machines assembled per hour between teams under democratic and autocratic leadership.
Alternative Hypothesis (Ha): There is a significant difference in the average number of fax machines assembled per hour between teams under democratic and autocratic leadership.
Step 2: Choose the Statistical Test:
Since we are comparing the means of two independent groups (democratic and autocratic teams) of equal size (15 each), we will use a two-sample t-test.
Step 3: Collect and Analyze Data:
We need data on the average number of fax machines assembled per hour for both teams (15 democratic and 15 autocratic workers).
Calculate the relevant data: means, standard deviations, and sample size for each group.
Step 4: Set the Significance Level:
The significance level typically used is α = 0.05 (5%). This means we will reject the null hypothesis if the p-value is less than 0.05.
Step 5: Conduct the t-test:
Use a statistical software package or calculator to perform the t-test with the collected data. This will provide the:
- t-statistic
- Degrees of freedom (df)
- p-value
Step 6: Interpret the Results:
Compare the p-value to the significance level:
If p-value < α (0.05), reject the null hypothesis and conclude that there is a significant difference in productivity between the two leadership styles.
If p-value ≥ α (0.05), fail to reject the null hypothesis and conclude that there is no evidence of a significant difference in productivity based on the given data.
What are the 7 steps of hypothesis testing for analyzing the effect of leadership style on worker productivity at an assembly plant for fax machines? The 7 steps of hypothesis testing for this study include: 1. State the Research Question and Hypotheses 2. Choose the Statistical Test 3. Collect and Analyze Data 4. Set the Significance Level 5. Conduct the t-test 6. Interpret the Results 7. Draw Conclusions based on the p-value and significance level