Final answer:
The result with a p-value of 0.03 is not statistically significant at the α=0.02 level since the p-value exceeds the significance level, leading to the conclusion that the correct answer is false.
Step-by-step explanation:
When assessing the statistical significance of a result, we compare the p-value to the significance level, often denoted by α (alpha). A result is deemed statistically significant if the p-value is less than the chosen significance level. In this case, if p=0.03, which represents the p-value obtained from a statistical test, and we are comparing it to a significance level of α=0.02, we see that the p-value is greater than the alpha level. This means the result is not statistically significant at the α=0.02 level since the p-value should be lower than the alpha level to reject the null hypothesis.
According to the principles of hypothesis testing, you can only reject the null hypothesis and conclude that the results are statistically significant if the p-value is smaller than the alpha level you set before conducting the test. In this scenario, because the p-value (0.03) is greater than the significance level (0.02), the correct decision would be to fail to reject the null hypothesis. Therefore, the answer to the question is false. The result with a p-value of 0.03 is not statistically significant at the α=0.02 level. The mention of the correct option in the final part of my response is to clarify the conclusion drawn from comparing the p-value with the significance level.