RMRP#7
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RM5.docx2
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Data Analysis: Hypothesis Testing
Data Analysis: Hypothesis Testing
Correlation: Hypothesis Testing
Ha1: There is a statistically significant relationship between particulate matter pollution and employee health.
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job site |
microns |
mean annual sick days per employee |
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job site |
1 |
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microns |
-0.097793758 |
1 |
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mean annual sick days per employee |
0.056174631 |
-0.715984185 |
1 |
There is a strong correlation between the variables; the amount of microns available in the job sites determines the mean annual sick days for the employees. The more microns, the more employees take sick days (Gupta & Kapoor, 2020). The person correlation coefficient obtained from the multiple regression shows a strong relationship between the variables which means that the null hypothesis should be created.
Simple Regression: Hypothesis Testing
Ho2: There is no significant relationship between safety training and lost time hours.
Ha2: There is a significant relationship between safety training and lost time hours.
Based on the r, R squared, the ANOVA F value of 522.6227, there is statistical significance between the variables, and hence the null hypothesis should be rejected(George & Mallery, 2018).
Multiple Regression: Hypothesis Testing
Ho3: There is no significant relationship between the sound-level exposure and the cost of hearing protection.
Ha3: There is a significant relationship between sound-level exposure and the cost of hearing equipment.
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SUMMARY OUTPUT |
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Regression Statistics |
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Multiple R |
0.065459231 |
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R Square |
0.004284911 |
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Adjusted R Square |
-0.005573654 |
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Standard Error |
0.906533144 |
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Observations |
103 |
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ANOVA |
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df |
SS |
MS |
F |
Significance F |
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Regression |
1 |
0.357186847 |
0.357186847 |
0.434638391 |
0.511222 |
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Residual |
101 |
83.00203645 |
0.821802341 |
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Total |
102 |
83.3592233 |
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Coefficients |
Standard Error |
t Stat |
P-value |
Lower 95% |
Upper 95% |
Lower 95.0% |
Upper 95.0% |
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Intercept |
0.682789788 |
0.123867259 |
5.512270087 |
2.72423E-07 |
0.43707 |
0.92850911 |
0.437070466 |
0.92850911 |
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X Variable 1 |
-1.53252E-05 |
2.32457E-05 |
-0.659271106 |
0.511222066 |
-6.1E-05 |
3.07881E-05 |
-6.14385E-05 |
3.07881E-05 |
The data analysis shows a significant relationship between the sound level exposure and the cost of hearing aids; the null hypothesis should be rejected.
References
George, D., & Mallery, P. (2018). Descriptive statistics. In IBM SPSS Statistics 25 Step by
Step (pp. 126-134). Routledge.
Gupta, S. C., & Kapoor, V. K. (2020). Fundamentals of mathematical statistics. Sultan Chand &
Sons.
