A traffic light is installed to allow traffic from a seldom used side street to cross a 4-lane highway. Because the side street doesn't get a lot of traffic the light is set to provide a red light for the side street 80% of the time, yellow 5% of the time, and green 15% of the time. A resident who must pass through the light several times per day is suspicious that the light is not functioning according to the claimed distribution. He sets up a trail camera and programs it to snap a picture of the light at 200 randomly selected times throughout the day. Here are the results: Red: 173, Yellow: 13, and Green: 14. Do these data provide convincing evidence that the light is not functioning according to the claimed distribution?

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A traffic light is installed to allow traffic from a seldom used side street to cross a 4-lane highway. Because
the side street doesn't get a lot of traffic the light is set to provide a red light for the side street 80% of the
time, yellow 5% of the time, and green 15% of the time. A resident who must pass through the light several
times per day is suspicious that the light is not functioning according to the claimed distribution. He sets up
a trail camera and programs it to snap a picture of the light at 200 randomly selected times throughout the
day. Here are the results: Red: 173, Yellow: 13, and Green: 14. Do these data provide convincing
evidence that the light is not functioning according to the claimed distribution?
Transcribed Image Text:A traffic light is installed to allow traffic from a seldom used side street to cross a 4-lane highway. Because the side street doesn't get a lot of traffic the light is set to provide a red light for the side street 80% of the time, yellow 5% of the time, and green 15% of the time. A resident who must pass through the light several times per day is suspicious that the light is not functioning according to the claimed distribution. He sets up a trail camera and programs it to snap a picture of the light at 200 randomly selected times throughout the day. Here are the results: Red: 173, Yellow: 13, and Green: 14. Do these data provide convincing evidence that the light is not functioning according to the claimed distribution?
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