Question

A government lobbying firm is interested in getting more money directed to people who have special needs. To convince state legislators that more money needs to be diverted to the California Department of Developmental Services, they first must determine which groups of people are in most need of those funds. This firm has hired you to conduct the analysis to answer the questions below.

Determine if there is a difference in the average expenditures by gender. Conduct one-way ANOVA to test the difference of mean expenditure and gender. Use a significance level of α = 0.05.

1. Determine the null and alternative hypotheses.                                               (2 Points)
2. What is the value of the test statistics?                                                                              (2 Points)
3. Determine the P-value.                                                                                   (2 Points)

0.9173

4. Make a decision to reject or fail to reject H₀.                                              (2 Points)

reject H₀

5. State the conclusion in terms of the original question.                                  (2 Points)

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
Male	497	8946594	18001.2	3.64E+08
Female	503	9119192	18129.61	4.01E+08
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	4122210	1	4122210	0.010783	0.917318	3.850793
Within Groups	3.82E+11	998	3.82E+08
Total	3.82E+11	999

Answer 1