Application
In this application you will explore the effect of sample size on the p-value. Suppose the Mythbusters' sample size had been 10 times larger and they obtained the following two-way table for their study:
|
yawn seed |
no yawn |
Total |
yawned |
100 |
40 |
140 |
didn't yawn |
240 |
120 |
260 |
Total |
340
|
160 |
500 |
(a) Calculate the difference in conditional proportions for this table (seeded minus control, show your work). How does it compare to that of the actual study (larger, smaller, the same)?
(b) If you were to recreate the stacked bar graphs for these data, how would they compare to those from the original data?
(c) Conjecture (state your intuition, no wrong answer) how you think the p-value for this table will compare to that of the actual study (larger, smaller, the same).
