Question 1077023: Previously, 9.4% of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. She randomly selects 60 workers and finds that 12 of them have a travel time to work that is more than 60 minutes. Test the economist's belief at the
α=0.1 level of significance.
What is the P value?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Previously, 9.4% of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. the percentage has increased since then. She randomly selects 60 workers and finds that 12 of them have a travel time to work that is more than 60 minutes. Test the economist's belief at the α=0.1 level of significance.
What is the P value?
--------
Ho: p <= 0.094
Ha: p > 0.094 (claim)
------
Sample proportion:: 12/60 = 0.20
-----
Test statistic:: z(0.20) = (0.20-0.094)/sqrt[0.094*0.906/60] = 2.8135
-----
p-value = P(z > 2.8135) = normalcdf(2.8135,100) = 0.0025
---------------
Conclusion:: Since the p-value is less than 1%, reject Ho.
The test results support the claim.
Cheers,
Stan H.
-------------
|
|
|
