Final answer:
To find the p-value for the hypothesis test, we can use technology such as a calculator or software. We need to determine the degrees of freedom and use a t-distribution table or a calculator/software to find the p-value associated with the test statistic and degrees of freedom.
Step-by-step explanation:
To find the p-value for the hypothesis test, we can use technology such as a calculator or software.
First, we need to determine the degrees of freedom, which is equal to the sample size minus one. In this case, the sample size is n = 8, so the degrees of freedom would be df = 8 - 1 = 7.
Next, we can use the t-distribution table or a calculator/software to find the p-value associated with the test statistic t = 1.281 and the degrees of freedom df = 7. The p-value represents the probability of observing a test statistic as extreme or more extreme than the one calculated, assuming the null hypothesis is true. Therefore, a lower p-value indicates stronger evidence against the null hypothesis.