Answer:
The higher significance level is 0.0666, as it has to be lower than the p-value.
Significance level is usually expressed up to 2 decimals, so the maximum level of significance is expected to be α=0.06.
Step-by-step explanation:
We have a hypothesis test for the mean.
The result is that the null hypotesis failed to be rejected.
The P-value is 0.0667.
We have to find the highest possible signficance level.
First, we have to see the decision rule for the p-value method:
- If the P-value is lower than the significance level, the null hypothesis is rejected.
- If the P-value is higher than the significance level, the null hypothesis failed to be rejected.
In our question, we are in the second situation, so we can conclude that the P-value is higher than the significance level.
Then, the higher significance level is 0.0666, as it has to be lower than the p-value.
Significance level is usually expressed up to 2 decimals, so the maximum level of significance is expected to be α=0.06.
