hypothesis testing and one sample Z test question. suppose the latest census dat
ID: 3175837 • Letter: H
Question
hypothesis testing and one sample Z test question.
suppose the latest census data shows that the national average commute time is 25.5 minutes each way with a standard deviation of 2 minutes. You scoff at the news because you think the residents of Pittsburgh have significantly longer commutes than the national average suggests. You survey a random sample of 49 Pittsburghers and find that their average commute time is 26.05 minutes.
the P value for the two-tailed test is p equals .0542. what does this mean?
a. if there is no difference between Pittsburgh residence average commute time and the national average then there is a 5.42 % chance that you would have found no difference.
b. there is a 5.42% chance of drawing the wrong conclusion that Pittsburgh residents average commute time is significantly different from the national average when in fact no difference exists.
c. there is a 5.42% probability that you would have gotten a sample mean of 26.05 minutes.
d. there is a 5.42% probability that the Pittsburgh residents average commute time is the same as the national average.
Explanation / Answer
Here p-value represents type I error.
This means we reject the null hypothesis though it is true.
b. there is a 5.42% chance of drawing the wrong conclusion that Pittsburgh residents average commute time is significantly different from the national average when in fact no difference exists.
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