Suppose you wish to investigate whether your spun tennis racquet is equally likely to land with the label facing up.Which of the following will always be true about the p-value in this situation?
A) The p-value will increase as the sample proportion that lands "up" increases.
B) The p-value will decrease as the sample proportion that lands "up" increases.
C) The p-value will increase as the sample proportion that lands "up" gets further from 0.5.
D) The p-value will decrease as the sample proportion that lands "up" gets further from 0.5.

Question

Quizplus · Accepted Answer

The p-value is the probability of observing a sample proportion as extreme or more extreme than the one observed, assuming the null hypothesis is true. In this case, the null hypothesis is that the racquet is equally likely to land with the label facing up or down, so the p-value is the probability of observing a sample proportion that is as far from 0.5 as the one observed or further. As the sample proportion gets further from 0.5, the p-value will decrease.

Suppose You Wish to Investigate Whether Your Spun Tennis Racquet