Find the critical​ value(s) and rejection​ region(s) for the type of​ z-test with level of significance 

alphaα. 

Include a graph with your answer. 

RightRight​-tailed 

​test, 

alphaαequals=0.040.04

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Part 1

The critical​ value(s) is/are 

zequals=enter your response here.

​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)

Here is the graph of the right-tailed z-test with a significance level \( \alpha = 0.04 \). The shaded red region represents the rejection region, which is to the right of the critical value \( z = 1.75 \). If the test statistic falls within this region, the null hypothesis would be rejected.

### Summary:
- **Critical value**: \( z = 1.75 \)
- **Rejection region**: \( z > 1.75 \)

Would you like more details or have any further questions?

### Additional related questions:
1. How do we find critical values for a left-tailed test?
2. What is the rejection region for a two-tailed test with \( \alpha = 0.05 \)?
3. How does changing the significance level affect the critical value?
4. Can you explain how to interpret the z-test result in a real-world scenario?
5. What is the relationship between the p-value and the rejection region?

### Tip:
The smaller the significance level \( \alpha \), the more stringent the test, meaning it's harder to reject the null hypothesis.

Find the critical value(s) and rejection region(s) for the type of z-test with level of significance alpha α. Include a graph with your answer. Right-tailed test, alpha α = 0.04. The critical value(s) is/are z = (Round to two decimal places as needed).

Learn how to determine the critical value and rejection region for a right-tailed z-test with a significance level of α = 0.04. Understand the relationship between critical values and hypothesis testing, using Z-distribution properties to decide when to reject the null hypothesis.

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