## Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education

# Chapter 11 - Other Chi-Square Tests - Review Exercises - Section 11-2 - Page 642: 9

Yes.

#### Work Step by Step

$H_o:$ at the 0.01 level of significance, the proportion with or without health insurance is not related to the state chosen. $H_a:$ at the 0.01 level of significance, the proportion with or without health insurance is related to the state chosen. $df=(2-1)(4-1)=3, \chi^2_c=11.345$ Calculate the expected values using the data table given Arkansas 576.4293518 98.32483613 Montana 801.877276 136.780772 NorthDakota 524.3372178 89.43918427 Wyoming 441.502185 75.30954115 Calculate $\chi^2=\sum\frac{(O-E)^2}{E}=19.0$ As $\chi^2>11.346$ we reject the null hypothesis. At the 0.01 level of significance, the proportion with or without health insurance is related to the state chosen.

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