The sample standard deviation also affects our prediction of success. Imagine a data set where the sample size and x-bar stay the same, but with a larger standard deviation. This would indicate a larger variability in the data, which results in a test statistic with a p-value.

A. lower, higher
B. higher, lower
C. higher, higher
D. lower, lower

A. lower, higher

Step-by-step explanation:

correct answer is here lower test statistic  with a higher p-value because

Since the test is statistically the standard deviation in the denominator, the value of the test statistic decreases as the standard deviation increases. And there is a large potential for p value in calculating p value for small test statistics.