Conduct a full hypothesis test and determine if the given claim is supported or not supported at the 0.05 significancelevel. 9)A supplier of 3.5" disks claims that no more than 1% of the disks are defective. In a random sample of 600 disks,it is found that 3% are defective, but the supplier claims that this is only a sample fluctuation. Test whether thesupplier's claim that no more than 1% are defective is supported or not supported.H0:________________________ Ha:_______________________n = ______ Sࡂ________ = p-value = ___________ Compare the p-value and Į:________________Decision:_________________________Conclusion:_________________________________________________________________. **Conduct a full hypothesis test and determine if the given claim is supported or not supported at the 0.05 significance level.****Problem:**9) A supplier of 3.5" disks claims that no more than 1% of the disks are defective. In a random sample of 600 disks, it is found that 3% are defective, but the supplier claims that this is only a sample fluctuation. Test whether the supplier's claim that no more than 1% are defective is supported or not supported.**Hypotheses:**- $H_0$: ______________________ - $H_a$: ______________________n = ______ $\hat{p} =$ _______p-value = ________ Compare the p-value and $\alpha$: ____________________**Decision:**________________________________________________________________________________________**Conclusion:**________________________________________________________________________________________________________________________________________________________________________________ ---*Instructions for Solving:*1. **State the Null and Alternative Hypotheses:** - $H_0$ (Null Hypothesis): The true proportion of defective disks is 1% ($p = 0.01$). - $H_a$ (Alternative Hypothesis): The true proportion of defective disks is more than 1% ($p > 0.01$).2. **Calculate the Test Statistic:** - Determine the sample proportion ($\hat{p}$): $\frac{\text{Number of Defective Disks}}{\text{Total Sample Size}}$. - Use the formula for the test statistic for a proportion.3. **Determine the p-value:** - Use statistical software or a z-table to find the p-value associated with the test statistic.4. **Compare the p-value to the significance level ($\alpha = 0.05$):** - If $p$-value < 0.05, reject $H_0$. - If $p$-value $\geq$ 0.05, fail to reject $H_0$.5. **Make a Decision:** - Based on the above comparison, decide whether to support or reject the supplier's claim that no more than 1% are defective.6. **Write the Conclusion:** - Provide a clear conclusion regarding the supplier's claim based on the analysis.

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Author:Amos Gilat

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Conduct a full hypothesis test and determine if the given claim is supported or not supported at the 0.05 significance
level. 9)
A supplier of 3.5" disks claims that no more than 1% of the disks are defective. In a random sample of 600 disks,
it is found that 3% are defective, but the supplier claims that this is only a sample fluctuation. Test whether the
supplier's claim that no more than 1% are defective is supported or not supported.
H0:________________________ Ha:_______________________
n = ______ Sࡂ________ =
p-value = ___________ Compare the p-value and Į:________________
Decision:_________________________
Conclusion:_________________________________________________________________.

**Conduct a full hypothesis test and determine if the given claim is supported or not supported at the 0.05 significance level.**

**Problem:**

9) A supplier of 3.5" disks claims that no more than 1% of the disks are defective. In a random sample of 600 disks, it is found that 3% are defective, but the supplier claims that this is only a sample fluctuation. Test whether the supplier's claim that no more than 1% are defective is supported or not supported.

**Hypotheses:**

- $H_0$: ______________________
- $H_a$: ______________________

n = ______
$\hat{p} =$ _______

p-value = ________

Compare the p-value and $\alpha$: ____________________

**Decision:**

________________________________________________________________________________________

**Conclusion:**

________________________________________________________________________________________

________________________________________________________________________________________

---

*Instructions for Solving:*

1. **State the Null and Alternative Hypotheses:**
- $H_0$ (Null Hypothesis): The true proportion of defective disks is 1% ($p = 0.01$).
- $H_a$ (Alternative Hypothesis): The true proportion of defective disks is more than 1% ($p > 0.01$).

2. **Calculate the Test Statistic:**
- Determine the sample proportion ($\hat{p}$): $\frac{\text{Number of Defective Disks}}{\text{Total Sample Size}}$.
- Use the formula for the test statistic for a proportion.

3. **Determine the p-value:**
- Use statistical software or a z-table to find the p-value associated with the test statistic.

4. **Compare the p-value to the significance level ($\alpha = 0.05$):**
- If $p$-value < 0.05, reject $H_0$.
- If $p$-value $\geq$ 0.05, fail to reject $H_0$.

5. **Make a Decision:**
- Based on the above comparison, decide whether to support or reject the supplier's claim that no more than 1% are defective.

6. **Write the Conclusion:**
- Provide a clear conclusion regarding the supplier's claim based on the analysis.

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