Answer:
Correct option is (A).
Step-by-step explanation:
A two-sample <em>t</em>-test can be performed to determine whether the amount of hazardous material absorbed by the bodies of hazardous waste workers depend on gender or not.
Th hypothesis will be:
<em>H₀</em>: The amount absorbed by men is same as the amount absorbed by women, i.e. <em>μ</em>₁ = <em>μ</em>₂.
<em>Hₐ</em>: The amount absorbed by men is greater than the amount absorbed by women, i.e. <em>μ</em>₁ > <em>μ</em>₂.
The test statistic used is:
The decision rule to reject the null hypothesis based on the <em>p</em>-value is:
If the <em>p</em>-value of the test is less than the significance level <em>α</em> then the null hypothesis will be rejected. And if the <em>p</em>-value of the test is greater than the significance level <em>α</em> then the null hypothesis will not be rejected.
The <em>p</em>-value of the test is,
<em>p </em>- value = 0.0032
The commonly used significance levels are:
<em>α</em> = 0.01, 0.05 and 0.10.
The <em>p</em>-value of this test is less than all these <em>α</em>'s.
Thus, the null hypothesis will be rejected.
<u>Conclusion:</u>
As the null hypothesis is rejected, it can be concluded that the amount of leas absorbed by men is significantly greater than the amount absorbed by women.
Thus, the correct option is (A).