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.