Answered: In a study of store checkout scanners,…

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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Question

In a study of store checkout scanners, 1234 items were checked and

checked items were overcharges. Use a 0.05 significance level to test the claim that with scanners, 1% of sales are overchanrges. (Before scanners were used, the overcharge rate was estimated to be about 1%).

a. Define the parameter

p = The proportion of all sales that are incorrect

p = The proportion of all sales that are overcharges

= The mean number of sales that are overcharges

= The proportion of all sales that are undercharges

b. State the null and alternative hypotheses

Upper H 0 : p equals 0.01 Upper H 1 : p not equals 0.01

Upper H 0 : p equals

Upper H 1 : p less than

Upper H 0 : p greater than 0.01 Upper H 1 : p equals 0.01

Upper H 0 : mu not equals 0.01 Upper H 1 : mu equals 0.01

c. Calculate the sample proportion

ModifyingAbove p with caret

Which of these options is closes to

ModifyingAbove p with caret

0.0077

0.1173

0.0170

0.0244

d. Calculate the test statistic z. Which of these options is closest to z?

1.14

2.29

3.46

2.47

e. Calculate the P-value. Which of these options is closest to the P-value?

0.0136

0.0146

0.0125

0.1144

f. State the technical conclusion

Reject Upper H 0

Do not reject Upper H 0

g. State the final conclusion

There is not sufficient sample evidence to support the claim.

There is not sufficient evidence to warrant rejection of the claim.

The sample data support the claim.

There is sufficient evidence to warrant rejection of the claim.

h. Based on the results, does it appear that the use of scanners has decreased the rate of overcharges?

Yes

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