Final answer:
The p-value of 0.1039 is greater than the significance level of 0.05, indicating that there is not enough evidence to reject the null hypothesis at the 5 percent level of significance.
Step-by-step explanation:
When evaluating hypothesis tests in statistics, we often compare the p-value to our chosen level of significance, typically denoted as α (alpha). The p-value indicates the probability of obtaining an effect at least as extreme as the one observed in your sample data, assuming that the null hypothesis is true. If the p-value is lower than the significance level (alpha), we reject the null hypothesis.
In the student's question, the p-value is given as 0.1039, and it is compared to α = 0.05. Because the p-value is greater than alpha (α < p-value), we do not reject the null hypothesis. This implies that there is insufficient evidence, at the 5 percent level of significance, to conclude that the effect observed in the sample is statistically significant.
Thus, in practical terms, the conclusion is that we cannot say, with 95% confidence, that our sample provides enough evidence to support the alternative hypothesis over the null hypothesis.