Given:
Sample size (n) = 65
Sample mean (x-bar) = 96.5
Sample standard deviation (s) = 11.0
Test statistic = -2.565
What is the p-value?
The p-value cannot be determined without knowing the specific hypothesis test and significance level being used.
To find the p-value given the test statistic, you will need to determine the specific hypothesis being tested, whether it is a one-tailed or two-tailed test, and the significance level (α). With this information, you can use a statistical calculator or a Z-table to find the p-value.
However, you did not mention the specific hypothesis being tested and the significance level (α) for the test. These are crucial pieces of information needed to calculate the p-value accurately. Without these details, it is not possible to determine the p-value.