Question 323693: A random telephone survey asked 208 drivers if they run red lights. Of the 48 drivers who were 35 years old or younger, 32 admitted that they run red lights. Eighty-six of the 160 drivers that were older than 35 years old admitted to running red lights. At the 0.01 level of significance, test the claim that the percent of drivers who are 35 years old or younger and who run red lights is higher than the percent of drivers who are older than 35 years old and who run red lights.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A random telephone survey asked 208 drivers if they run red lights. Of the 48 drivers who were 35 years old or younger, 32 admitted that they run red lights. Eighty-six of the 160 drivers that were older than 35 years old admitted to running red lights. At the 0.01 level of significance, test the claim that the percent of drivers who are 35 years old or younger and who run red lights is higher than the percent of drivers who are older than 35 years old and who run red lights.
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Ho: p(young)-P(old) = 0
Ha: p(young)-P(old) > 0
I ran a 2-PropZtest on a TI-84 to get:
test stat: z = 1.5842
p-value: 0.0566
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Since the p-value is greater than 1%, fail to reject Ho.
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Cheers,
Stan H.
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