Answer
Step 1:
$H_0$ : The proportions of the number of adults who do not have health insurance among three categories is equal to the researcher’s claim.
$H_1$: The distribution is not the same as stated in the null hypothesis.
Step 2:
Since α=0.05, and the degrees of freedom are 3-1=2 , the critical value is 5.991.
Step 3:
Expected Value:
E = n/k = 60/3 = 20
Test Value :
χ2 = Σ $\frac{(O-E)^{2}}{E}$ =$\frac{(29-20
)^{2}}{20}$ + =$\frac{(20-20
)^{2}}{20}$ +=$\frac{(11-20
)^{2}}{20}$ =4.05+0+4.05=8.1
Step 4:
Using P-value method,
Since P(Χ2 > 8.1) = 0.99 > α , the decision is to not reject the null hypothesis.
Step 5:
There is no enough evidence to reject the claim and hence we conclude that the proportions of the number of adults who do not have health insurance among three categories is equal to the researcher’s claim.
