A traffic engineer conducted a study on the number of speed limit violation among Malaysian drivers. He posted a speed limit of 50 km/h and monitored the speed of 100 randomly selected vehicles and found that 27 of them violated the speed limit. The speed limit was raised to 70 km/h and he monitored the speed of 100 randomly selected vehicles and found 19 vehicles violated the speed limit. Calculate a 95% confidence interval for the difference between the two proportions of vehicles violating the speed limit, before and after the speed limit was raised. Then, based on your answer, do you think that it is likely that the two true proportions of vehicles violating the speed limit are the same? Justify your answer.

A traffic engineer conducted a study on the number of speed limit violation among Malaysian drivers. He posted a speed limit of 50 km/h and monitored the speed of 100 randomly selected vehicles and found that 27 of them violated the speed limit. The speed limit was raised to 70 km/h and he monitored the speed of 100 randomly selected vehicles and found 19 vehicles violated the speed limit. Calculate a 95% confidence interval for the difference between the two proportions of vehicles violating the speed limit, before and after the speed limit was raised. Then, based on your answer, do you think that it is likely that the two true proportions of vehicles violating the speed limit are the same? Justify your answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

6. A traffic engineer conducted a study on the number of speed limit violation among Malaysian
drivers. He posted a speed limit of 50 km/h and monitored the speed of 100 randomly selected
vehicles and found that 27 of them violated the speed limit. The speed limit was raised to 70
km/h and he monitored the speed of 100 randomly selected vehicles and found 19 vehicles
violated the speed limit.
Calculate a 95% confidence interval for the difference between the two proportions of vehicles
violating the speed limit, before and after the speed limit was raised. Then, based on your
answer, do you think that it is likely that the two true proportions of vehicles violating the
speed limit are the same? Justify your answer.

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