Question 1192372: A psychologist theorizes that more than 5.8% of the working population suffers from workplace issues due to extreme shyness. Express the null and alternative hypotheses for the psychologist's hypothesis test in symbolic form.
a)H0 : p = 5.8%
HA : p ≠ 5.8%
B)H0 : p > 5.8%
HA : p = 5.8%
C)H0 : p = 5.8%
HA : p > 5.8%
D)H0 : p = 5.8%
HA : p ≥ 5.8%
Answer by CPhill(1959)   (Show Source):
You can put this solution on YOUR website! **The correct answer is:**
**C)H0 : p = 5.8%**
**HA : p > 5.8%**
**Explanation:**
* **Null Hypothesis (H0):**
* The null hypothesis represents the status quo or the assumption to be tested.
* In this case, the psychologist's claim is that the percentage of the working population suffering from workplace issues due to extreme shyness is **more than** 5.8%.
* Therefore, the null hypothesis states that the proportion is **equal to** 5.8%.
* **Alternative Hypothesis (HA):**
* The alternative hypothesis represents the claim or the researcher's belief.
* Since the psychologist believes the percentage is **more than** 5.8%, the alternative hypothesis states that the proportion is **greater than** 5.8%.
**Key Points:**
* The null hypothesis always includes an "equal to" component.
* The alternative hypothesis reflects the direction of the researcher's claim (greater than, less than, or not equal to).
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