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A 2003 New York Times /CBS News poll samples 523 adults who were planning a vaca

ID: 3387982 • Letter: A

Question

A 2003 New York Times/CBS News poll samples 523 adults who were planning a vacation during the next six months and found that 141 were expecting to travel by airplane (New York Times News Service, March 2, 2003). A similar survey question in a May 1993 New York TimesCBS News poll found that of 477 adults who were planning a vacation in the next six months, 81 were expecting to travel by airplane.

b. What is the sample proportion expecting to travel by airplane in 2003?     In 1993?   (to 4 decimals)

c. What is the value of the test statistic? Be sure to carry your pooled proportion out to 3 decimal places, and round your final answer to two decimal places.
      

d. At = .01, what is the critical value? +/-  

Explanation / Answer

p value =0

Critical region = |z|>2.58

As p <0.01 reject null hypothesis that both proportions are equal

2003 1993 Plane tr 141 81 222 Total n 523 477 1000 p 0.26959847 0.169811 0.099787 Pooled p 0.222 Variance 0.000172716 Std error 0.013142146 Test statistic 7.592911389
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