b) A traffic engineer conducted a study on He placed a 50km/h speed limit and tracked the speed of vehicles, discovering that 40 of them exceeded the speed limit. The spee was adjusted to 70km/h, and he monitored the speeds of 100 randomly selectes vehicles, discovering that 80 of them do not exceeded the speed limit. i. Calculate a 98% confidence interval for the percentage of vehicles violatin 31 it after the speed limit was raised.

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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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b) A traffic engineer conducted a study on Malaysian drivers' speed limit violations
He placed a 50km/h speed limit and tracked the speed of 100 randomly selected
vehicles, discovering that 40 of them exceeded the speed limit. The speed limit
was adjusted to 70km/h, and he monitored the speeds of 100 randomly selected
vehicles, discovering that 80 of them do not exceeded the speed limit.
i. Calculate a 98% confidence interval for the percentage of vehicles violating
the speed limit after the speed limit was raised.
ii. Is there any significant difference in the proportions of vehicles violating
the speed limit, before and after the speed limit was raised at 0.2% level of
significance?
Transcribed Image Text:b) A traffic engineer conducted a study on Malaysian drivers' speed limit violations He placed a 50km/h speed limit and tracked the speed of 100 randomly selected vehicles, discovering that 40 of them exceeded the speed limit. The speed limit was adjusted to 70km/h, and he monitored the speeds of 100 randomly selected vehicles, discovering that 80 of them do not exceeded the speed limit. i. Calculate a 98% confidence interval for the percentage of vehicles violating the speed limit after the speed limit was raised. ii. Is there any significant difference in the proportions of vehicles violating the speed limit, before and after the speed limit was raised at 0.2% level of significance?
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