Question: On Route 19 there is a traffic light that allows for cross-traffic from Baker Avenue, a minor side street. Because Route 19 is a busy

On Route 19 there is a traffic light that allows for cross-traffic from Baker Avenue, a minor side street. Because Route 19 is a busy 4-lane highway, the light is supposed to give Route 19 a green light 80% of the time, a yellow light 5% of the time, and a red light 15% of the time. An inspector thinks that the programming may be incorrect and that the distribution differs from the intended distribution. To investigate, he sets up a camera, which snaps a picture of the light at 200 randomly selected times. Here are the results: Green: 142 count Yellow: 11 count Red:47 count Does this data provide convincing evidence that the light's programming is incorrect? Use = 0.01. PLAN: Name the test: Chi-Square Test for Goodness of Fit RANDOM: ________________ We have a random sample of 200 times for which the color of the traffic light is recorded We have independent random samples of size 142,11,and 47 This condition is not met 10%: ____________ a) What is the expected count for each color if H0 is true? (Do not round) Expected Count for Green = Expected Count for Yellow = Expected Count for Red = Are all

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