Think about how you would answer the following question. Next Wednesday’s meeting has been moved forward two days. What day is the meeting now that it has been rescheduled?
This question is ambiguous, as “moved forward” can be interpreted in two different ways. Would you have answered Monday or Friday? The authors of the paper “Even Abstract Motion Influences the Understanding of Time” (Metaphor and Symbol [2011]: 260– 271) wondered if the answers Monday and Friday would be provided an equal proportion of the time. Each student in a random sample of students at Stanford University was asked this question, and the responses are summarized in the following table.
Response Frequency
Monday…………. 11
Friday…………… 33
The authors of the paper used a chi- square goodness- of- fit test to test the null hypothesis H0 : p1 = 0.50, p2 = 0.50, where p1 is the proportion who would respond Monday, and p2 is the proportion who would respond Friday. They reported X2 = 11.00 and P- value, 0.001. What conclusion can be drawn from this test?