### Lighthouse Youth Family Services Aims To Provide Vital Support And Resources To

40

a. The critical value is 3.841. Since the χ2test statistic is above the critical value, we fail to reject the null hypothesis. There is insufficient evidence to claim that participation in the host home program and signs of depression are dependent on each other.

b. The critical value is 0.004. Since the χ2test statistic is above the critical value, we reject the null hypothesis. There is sufficient evidence to reject the claim that participation in the host home program and signs of depression are independent of each other.

c. The critical value is 3.841. Since the χ2test statistic is above the critical value, we reject the null hypothesis. There is sufficient evidence to reject the claim that participation in the host home program and signs of depression are independent of each other.

d. The critical values are -3.841 and 3.841. Since the χ2is outside of the critical value range, we fail to reject the null hypothesis. There is insufficient evidence to claim that participation in the host home program and signs of depression are dependent on each other.

e. The critical value is 7.815. Since the χ2is above the critical value, we reject the null hypothesis. There is sufficient evidence to reject the claim that participation in the host home program and signs of depression are independent of each other.