A Null Hypothesis has Level of Significance 9%. For what values of Level of Significances it will be rejected?(1 Point)0.990.090.0990.9

To determine for what values of the Level of Significance the Null Hypothesis will be rejected, we need to understand the concept of the Level of Significance (α). The Null Hypothesis is typically rejected if the p-value obtained from the test is less than the Level of Significance.

1. ### Break Down the Problem

• Given a null hypothesis with a Level of Significance of 9% (α = 0.09).
• We must find the α values for which the Null Hypothesis will be rejected.

2. ### Relevant Concepts

• If the p-value < α, then the Null Hypothesis is rejected.
• The critical value for rejection is based on the α level selected.

3. ### Analysis and Detail

• For a 9% Level of Significance, the Null Hypothesis will be rejected for any p-value that is less than 0.09.
• This means:
  • If α = 0.09, then p-value < 0.09 leads to rejection.
  • Any α less than 0.09 will also result in rejection of the Null Hypothesis for the same p-value.

4. ### Verify and Summarize

• In considering the options:
  • 0.99: Not rejected, as p-value would need to be less than 0.99.
  • 0.09: Rejected if p-value < 0.09.
  • 0.099: Rejected if p-value < 0.099, but not strict as it allows larger p-values.
  • 0.9: Not rejected, as p-value would need to be less than 0.9.

Final Answer

The Null Hypothesis will be rejected for values of Level of Significance of 0.09 and less. Thus, the correct responses where it could be rejected are 0.09 and 0.099 (exactly at these levels).