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13th Edition

Anderson

Publisher: CENGAGE L

ISBN: 9781305881884

Chapter 10, Problem 44SE

Textbook Problem

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

Single Policyholders |
Married Policyholders |

n_{1} = 400 |
n_{2} = 900 |

Number making claims = 76 | Number making claims = 90 |

- a. Use
*α*= .05. Test to determine whether the claim rates differ between single and married male policyholders. - b. Provide a 95% confidence interval for the difference between the proportions for the two populations.

**a.**

To determine

Test whether the claim rates differ between single and married male policyholders at

**Calculation:**

The data represents the number of single male and married male policyholders who made an insurance claim over the preceding three-year period.

The data is as follows:

Single Policyholders | Married Policyholders |

*State the hypothesis:*

The test hypotheses are as follows:

*Null hypothesis:*

That is, there is no difference between the single and married male policyholders.

*Alternative hypothesis:*

That is, there is a difference between the single and married male policyholders.

*Test statistic:*

The test statistic for hypothesis tests about

**b.**

To determine

Obtain 95% confidence interval for the difference between the proportions of the two populations.

STATISTICS F/BUSINESS+ECONOMICS-TEXT

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