Answered: To make a decision based on the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Follow these four steps of a hypothesis test:

- State the hypothesis and select alpha level
- Locate the critical region
- Compute the t-test statistic
- Make a probability-based decision about the null hypothesis

To make a decision based on the p-value, use the following:

A local group claims that the police issue at least 60 speeding tickets a day in their area. To prove their point, they randomly select 12 days. Their research yields the number of tickets issued for each day. The data are listed below. The sample standard deviation is 14.12. At α=0.01, test the group’s claim using p-values.

70 48 41 68 69 55 70 57 60 83 32 60

State the null hypothesis and alternative hypothesis.
Calculate the t-statistic.
What is the p-value?
Is there enough evidence to support the group’s claim?

Compare the P-value with a.
If Ps a, then reject Ho.
If P> a, then fail to reject Ho.
Claim
Decision
Claim is Ho
Claim is H,
|There is enough evidence to
There is enough evidence to support
Reject H.
reject the claim
There is not enough evidence to There is not enough evidence to
the claim
Fail to Reject Ho reject the claim
support the claim

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Step 1

(1)

State the hypotheses.

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