Question

How would you 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. Did you answer 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. A sample of students at Stanford University were 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-squared 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

χ² = 11.00

and

P-value < 0.001.

What conclusion can be drawn from this test?

Since the P-value is small, there is convincing evidence to conclude that the population proportions of people who respond "Monday" and "Friday" are equal.

Since the P-value is large, there is not enough evidence to conclude that the population proportions of people who respond "Monday" and "Friday" are not equal.   

Since the P-value is small, there is convincing evidence to conclude that the population proportions of people who respond "Monday" and "Friday" are not equal.

Since the P-value is small, there is not enough evidence to conclude that the population proportions of people who respond "Monday" and "Friday" are not equal.

Answer 1