Answered: A large automobile insurance company…

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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A large automobile insurance company selected samples of single and married male policy-holders and recorded the number who made an insurance claim over the preeding three-year period.

Male Policy Holders:	Single	Married
Sample size	400	900
No. Making claims	76	90

Conduct a hypothesis test to determine whether there is a difference in proportion of claims between single and married male policy holders. Use a 0.05 level of significance

Provide a 95% confidence interval for the difference between the proportions for the two populations.

Suppose now that we also have data on the number of claims by male retirees. The data are now:

Male policy holders:	Single	Married	Retirees
No. Making claims	76	90	45
Sample size	400	900	250

Assume that the three categories are mutually exclusive. Using a 0.05 significance level and a critical value approach, conduct an appropriate test to determine if there is a significant difference in the proportion of claims among the three groups.

If a significant difference is determined among the three groups, conduct an appropriate test to determine where the significant differences lie.

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