Answer
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.
