ind the critical value(s) for a left-tailed 2-test with a = 0.05. Include a graph with your answer he critical value(s) is(are) Round to two decimal places as needed. Use a comma to separate answers as needed) Braw a graph of the rejection region. Choose the correct graph below A. OB. Oc. OD.

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**Finding Critical Values for a Left-tailed Z-Test**

When performing a left-tailed z-test with a significance level (\(\alpha\)) of 0.05, it is essential to determine the critical value(s) and illustrate this on a graph. Follow the steps below:

1. **Determine the Critical Value(s):**
   - Since \(\alpha = 0.05\), the critical value corresponds to the z-score at which 5% of the data lies to the left in the standard normal distribution.
   - Enter the critical value rounded to two decimal places. Use a comma to separate answers if more than one value is needed.

2. **Graph the Rejection Region:**
   - Choose the correct graph from the options provided. 

**Graph Details:**

- **Graph A:** This graph displays a blue shaded area on the left tail of the normal distribution curve. The shaded region lies to the left of the critical value on the \(x\)-axis, which indicates where the rejection region for \(\alpha = 0.05\) would typically be located.

- **Graphs B, C, and D:** These images also show normal distribution curves with different shaded regions. For instance, the shaded areas in these graphs might indicate various positions on the curve relative to the critical values, signifying potential rejection regions based on different hypothesis test configurations.

**Final Step:**
- Click to select the graph that correctly represents the rejection region for a left-tailed test with \(\alpha = 0.05\). 

**Reminder:**
- Understanding and correctly identifying the rejection region is critical for making accurate inferences in hypothesis testing. The left-tailed test assesses whether there is a significant decrease in the tested parameter, as indicated by the rejection region on the left side of the distribution.
Transcribed Image Text:**Finding Critical Values for a Left-tailed Z-Test** When performing a left-tailed z-test with a significance level (\(\alpha\)) of 0.05, it is essential to determine the critical value(s) and illustrate this on a graph. Follow the steps below: 1. **Determine the Critical Value(s):** - Since \(\alpha = 0.05\), the critical value corresponds to the z-score at which 5% of the data lies to the left in the standard normal distribution. - Enter the critical value rounded to two decimal places. Use a comma to separate answers if more than one value is needed. 2. **Graph the Rejection Region:** - Choose the correct graph from the options provided. **Graph Details:** - **Graph A:** This graph displays a blue shaded area on the left tail of the normal distribution curve. The shaded region lies to the left of the critical value on the \(x\)-axis, which indicates where the rejection region for \(\alpha = 0.05\) would typically be located. - **Graphs B, C, and D:** These images also show normal distribution curves with different shaded regions. For instance, the shaded areas in these graphs might indicate various positions on the curve relative to the critical values, signifying potential rejection regions based on different hypothesis test configurations. **Final Step:** - Click to select the graph that correctly represents the rejection region for a left-tailed test with \(\alpha = 0.05\). **Reminder:** - Understanding and correctly identifying the rejection region is critical for making accurate inferences in hypothesis testing. The left-tailed test assesses whether there is a significant decrease in the tested parameter, as indicated by the rejection region on the left side of the distribution.
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