A p-value of 0.76 is not considered statistically significant when compared to a significance level of 0.05; thus, we would fail to reject the null hypothesis in this case.
The question seems to relate to the concept of statistical significance, which is often assessed in hypothesis testing. When comparing a p-value to a level of significance, typically denoted as α, the usual practice in statistics is to reject the null hypothesis if the p-value is less than or equal to α. If the p-value (0.76) is being compared to a significance level of 0.05, the p-value is much greater than 0.05, implying that the result is not statistically significant, and we would fail to reject the null hypothesis. Therefore, there is not convincing evidence that the average conductivity of this type of glass is greater than one, given a significance level of 0.05 and the assumption that the population is normal.