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A Massachusetts State Police Officer Measured the Speed of 100

question 103

Essay

A Massachusetts state police officer measured the speed of 100 motorists on the Massachusetts Turnpike and found that 70 exceeded the posted speed limit by more than 10 miles per hour. The police officer claims that more than 60% of motorists drive at least 10 miles per hour more than the posted speed on the turnpike.
A) Specify the null and alternative hypotheses to test the officer's claim.
B) Calculate the value of the test statistic.
C) At the 5% significance level, what is the p-value to test the officer's claim?
D) At the 5% significance level, does the evidence support the officer's claim?


Definitions:

Cultural Differences

Variations in the customs, values, traditions, and social behaviors of different societies or communities.

Spirit Possession

The belief or experience that an individual is inhabited or taken over by a spirit, which can influence their behavior or health.

Stigma

The disapproval or discrimination against a person or group based on perceivable social characteristics that serve to distinguish them from other members of a society.

Biomedical

Pertaining to the application of biological and physiological principles to clinical practice.

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