Question

Do our emotions influence economic decisions? One way to examine the issue is to have subjects...

Do our emotions influence economic decisions? One way to examine the issue is to have subjects play an “ultimatum game” against other people and against a computer. Your partner (person or computer) gets $10 , on the condition that it be shared with you. The partner makes you an offer. If you refuse, then neither of you gets anything. So it's to your advantage to accept even the unfair offer of $2 out of the $10 . Some people get mad and refuse unfair offers. Here are data on the responses of 76 subjects randomly assigned to receive an offer of $2 from either a person they were introduced to or a computer. Accept Reject Human offers 20 18 Computer offers 32 6 We suspect that emotion will lead to offers from another person being rejected more often than offers from an impersonal computer. Do a test to assess the evidence for this conjecture. Let ?? be the proportion of human offers rejected and ?? the proportion of computer offers rejected. Assuming these subjects can be though of as an SRS, which hypotheses is the best statement of the problem?

?0:??=?? versus ??:??>??

?0:??=?? versus ??:??<??

?0:??≠?? versus ??:??<??

?0:??≠?? versus ??:??>??

Calculate ?̂ ? and ?̂ ? . (Enter your answers rounded to four decimal places.)

?̂ ?=

?̂ ?=

Calculate the pooled sample proportion ?̂ . (Enter your answer rounded to four decimal places.)

?̂ =

Calculate the test statistic ? . (Enter your answer rounded to two decimal places.)

z=

Using Table C, find the range of the ? ‑value. (Enter your answers rounded to four decimal places.)

??????=

??????=

What can you conclude from these values?

There is strong evidence that offers from another person are rejected more often than offers from a computer.

There is strong evidence that offers from another person are rejected at the same rate as offers from a computer.

There is weak evidence that offers from another person are rejected more often than offers from a computer.

There is strong evidence that offers from a computer are rejected more often than offers from another person.

Math   Statistics-And-Probability   
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