Question

A consumer analyst reports that the mean life of an automobile battery is 74 months. After...

A consumer analyst reports that the mean life of an automobile battery is 74 months. After testing this claim they determined that the p-value was 0.1240. What is the conclusion of the test?

There is evidence to show the battery life is not 74 months.

There is not evidence to show the battery life is 74 months.

There is not evidence to show the battery life is not 74 months.

There is evidence to show the battery life is 74 months.

Math   Statistics-And-Probability   
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Answer #1

Null and alternative hypotheses

Ho : = 74 ( claim)

Ha : 74

Given p-value = 0.1240

Decision rule : if p-value < a we reject the null hypothesis otherwise we fail to reject the null hypothesis

We take level of significance a = 0.05

p-value = 0.1240 > 0.05 , we fail to reject the null hypothesis

Conclusion :

There is evidence to show the battery life is 74 months.

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