In the UK, some motorist groups want the current speed limit on motorways increased; they argue this would not be dangerous and would enable motorists to reach their destinations more quickly. However, some road-safety groups say speed can be a factor in accidents and believe it would be dangerous to increase the existing speed limit. a. State the null and alternative hypotheses from the perspective of the motorist groups. b. State the null and alternative hypotheses from the perspective of road-safety groups.

Calculus For The Life Sciences
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ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
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In the UK, some motorist groups want the current speed limit on motorways increased; they argue this would not be dangerous and would enable motorists to reach their destinations more quickly. However, some road-safety groups say speed can be a factor in accidents and believe it would be dangerous to increase the existing speed limit.
a. State the null and alternative hypotheses from the perspective of the motorist groups.
b. State the null and alternative hypotheses from the perspective of road-safety groups.

Expert Solution
Step 1

Introduction

The hypothesis is an assumption that is being tested.

Step 2

a.

From the perspective of the motorist groups,

Let the current speed limit be μ0 and the pop. mean speed limit be μ.

Determining Null Hypothesis

H0: μ=μ0 or the avg. speed limit is equal to the current speed limit.

 

Determining Alternative hypothesis

Ha: μ>μ0 or the avg. speed limit is more than the current speed limit.

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