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 | 

