Recall the Lady Tasting Tea example. Suppose that instead of being given four cups with milk poured first and four cups with tea poured first, the lady was given five cups with milk poured first and five cups with tea poured first. Suppose the outcome of the experiment was as shown in the table at the top of the next page.
Lady Tasting Tea Experiment:
Observed 2 × 2 Contingency Table for Fisher's Exact Test
|
Poured First
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Milk Guessed as Poured First
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Tea Guessed as Poured First
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Row Totals
|
|
Milk
|
4
|
1
|
5
|
|
Tea
|
1
|
4
|
5
|
|
Column Totals
|
5
|
5
|
10
|
a. Determine the more extreme tables.
b. Do a two-sided Fisher's exact test at the 0.05 level of the null hypothesis that the lady is guessing randomly.
c. Do a one-sided test at the 0.05 level.
d. What is the p-value for the two-sided test?
e. What is the p-value for the one-sided test?
f. Which test makes more sense here, one-sided or two-sided?