A 2003 New York TimesCBS News poll samples 523 adults who we

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? +/-  

Solution

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
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 ai

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