The chief of the emergency response services claims that their team responds to emergency distress calls within a 5 km radius in 360 seconds. An independent investigator wishes to test whether or not the presence of a thousand extra cars within the 5 km radius affects the emergency response time by 9.54 seconds. He randomly selects 100 distress calls and estimates the following regression: Ý = 345 + 0.26X, where Y, denotes the predicted response time measured seconds for the " emergency call and X, denotes the number of cars (in thousands) on the road within a 5 km radius at the time of the " emergency call. If B, is the slope coefficient, which of the following options states the investigator's null and alternative hypotheses? O A. Ho: B, >0.26 and H,: B, s0.26. O B. Ho: B, > 9.54 and H,: B, s9.54. C. Ho: B, = 0.26 and H,: B, #0.26. *D. Ho: B = 9.54 and H,: B, #9.54. Suppose ac associated with the test the investigator wishes to conduct is 1.98. The p-value will be 0.048 (Round your answer to three decimal places.) If the pre-specified significance level of the test was 5%, the calculated p-value suggests that we the null hypothesis. reject fail to reject

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The chief of the emergency response services claims that their team responds to emergency distress calls within a 5 km radius in 360 seconds. An independent investigator wishes to test whether or not the presence of a thousand extra cars within the 5 km
radius affects the emergency response time by 9.54 seconds. He randomly selects 100 distress calls and estimates the following regression:
Y; = 345 + 0.26X;,
where Y, denotes the predicted response time measured in seconds for the " emergency call and X; denotes the number of cars (in thousands) on the road within a 5 km radius at the time of the " emergency call.
If ß, is the slope coefficient, which of the following options states the investigator's null and alternative hypotheses?
О А. Но: В> 0.26 and H: Ba s0.26.
О В. Но: В > 9.54 and H: B, s9.54.
CC. Ho: B1 = 0.26 and H,: B1 ±0.26.
D. Ho: B1 = 9.54 and H,: B1 #9.54.
Suppose ac associated with the test the investigator wishes to conduct is 1.98.
The p-value will be 0.048.
(Round your answer to three decimal places.)
If the pre-specified significance level of the test was 5%, the calculated p-value suggests that we
V the null hypothesis.
reject
fail to reject
Transcribed Image Text:The chief of the emergency response services claims that their team responds to emergency distress calls within a 5 km radius in 360 seconds. An independent investigator wishes to test whether or not the presence of a thousand extra cars within the 5 km radius affects the emergency response time by 9.54 seconds. He randomly selects 100 distress calls and estimates the following regression: Y; = 345 + 0.26X;, where Y, denotes the predicted response time measured in seconds for the " emergency call and X; denotes the number of cars (in thousands) on the road within a 5 km radius at the time of the " emergency call. If ß, is the slope coefficient, which of the following options states the investigator's null and alternative hypotheses? О А. Но: В> 0.26 and H: Ba s0.26. О В. Но: В > 9.54 and H: B, s9.54. CC. Ho: B1 = 0.26 and H,: B1 ±0.26. D. Ho: B1 = 9.54 and H,: B1 #9.54. Suppose ac associated with the test the investigator wishes to conduct is 1.98. The p-value will be 0.048. (Round your answer to three decimal places.) If the pre-specified significance level of the test was 5%, the calculated p-value suggests that we V the null hypothesis. reject fail to reject
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