Do college majors have any effect on starting salanes after graduation? 350 recent graduates were surveyed about their majors in college and their starting salaries after graduation. Table I below shows the data. Conduct test of independence at the 99% level of confidence. Round to 2 decimal places. Observed Ereguencies Major
Do college majors have any effect on starting salanes after graduation? 350 recent graduates were surveyed about their majors in college and their starting salaries after graduation. Table I below shows the data. Conduct test of independence at the 99% level of confidence. Round to 2 decimal places. Observed Ereguencies Major
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:**Title: Analyzing the Impact of College Majors on Starting Salaries**
**Introduction:**
Do college majors have any effect on starting salaries after graduation? In this study, 350 recent graduates were surveyed about their majors in college and their starting salaries after graduation.
**Data Presentation:**
**Table 1: Starting Salaries by College Major**
| Major | <$50K | $50-69K | $69K+ | TOTAL |
|-------------|-------|---------|-------|-------|
| English | 20 | 20 | 25 | 65 |
| Engineering | 10 | 35 | 50 | 95 |
| Nursing | 5 | 15 | 25 | 45 |
| Business | 15 | 25 | 25 | 65 |
| Psychology | 10 | 40 | 30 | 80 |
| **TOTAL** | **60**| **135** | **155**|**350**|
**d. The critical value is:**
**e. We fail to reject the null hypothesis (Write "true" or "false" in the blank):**
**Graph/Diagram Explanation:**
The table above represents the survey data categorized by major and starting salary ranges. Each row corresponds to a major and each column represents a salary range. The total number of graduates surveyed is provided in the "TOTAL" column and row, summing up to 350 graduates.
The purpose of this analysis is to conduct a chi-square test of independence at the 99% confidence level to determine if there is a significant association between college majors and starting salaries.
**Critical Value Calculation:**
To calculate the critical value for the chi-square test, you would typically use a chi-square distribution table and the degrees of freedom (df), which can be determined by the formula: \( (number of rows - 1) \times (number of columns - 1) \). In this case, the degrees of freedom are calculated as \( (5-1) \times (3-1) = 4 \times 2 = 8 \).
**Conclusion:**
After calculating the chi-square statistic and comparing it to the critical value obtained from the chi-square distribution table, you need to decide whether to reject or fail to reject the null hypothesis. If the chi-square statistic
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