How do the average weekly incomes of electricians and carpenters compare? A random sample of 17 regions in the United States gave the following information about average weekly income (in dollars). (Reference: U.S. Department of Labor, Bureau of Labor Statistics.)

Region	1	2	3	4	5	6	7	8	9
Electricians	467	712	592	463	739	695	743	571	815
Carpenters	542	818	519	472	687	508	782	655	474

Region	10	11	12	13	14	15	16	17
Electricians	591	596	705	577	867	598	593	655
Carpenters	481	645	672	383	813	603	553	504

Does this information indicate a difference (either way) in the average weekly incomes of electricians compared to those of carpenters? Use a5%level of significance.(a) What is the level of significance? State the null and alternate hypotheses.

H_o: Distributions are different.H₁: Distributions are the same.H_o: Distributions are the same.H₁: Distributions are the same. H_o: Distributions are the same.H₁: Distributions are different.H_o: Distributions are different.H₁: Distributions are different.

(b) Compute the sample test statistic. (Use 2 decimal places.) What sampling distribution will you use?

uniformnormal Student'stchi-square

(c) Find theP-value of the sample test statistic. (Use 4 decimal places.)