Question

Southern Fatalities Western State Fatalities State AR CA 18 ID GA NM LA NV MS NC OK SC OR WA TN VA Use α-0.05 and test to determine whether the distribution of lightning fatalities is the same for these two regions. State the null and alternative hypotheses. Ho: The two populations of lightning faalies are not identical. H: The two populations of lightning fataties are identical O H: Median number of lightning fatalities for Southern states Median number of lightning fatalities for Western states 3 0 Ha: Median number of lightning fatalities for Southern statesMedian number of lightning fatalities for Western stateso Ho: The two populations of lightning fatalities are identical H: The two populations of lightning fatalities are not identical. O H: Median number of lightning fatalities for Southern states Median number of lightning fatalities for Western states s 0 H: Median number of lightning fatalities for Southern states- Median number of lightning fatalities for Western states >0 H : Median number of lightning fatalities for Southern states-Median number of lightning fatalities for Western statesと。 Ha: Median number of lightning fatalities for Southern statesMedian number of lightning fatalities for Western states 0 Find the value of the test statistic. W= Find the p-value. (Round your answer to four decimal places.) p-value What is your conclusion? O Do not reject Ho. There is not sufficient evidence to conclude that the distribution of lightning fatalities is different for these two regions. O Reject H. There is not sufficient evidence to conclude that the distribution of lightning fatalities is different for these two regions. O Reject H There is sufficient evidence to conclude that the distribution of lightning fatalities is different for these two regions. O Do not reject Ho There is sufficient evidence to conclude that the distribution of lightning fatalities is different for these two regions.

Answer 1

wilxocon rank sum test , n1,n2>=10  

Ho:the two population of lightning fatalies are identical

H1: the two population of lightning fatalies are not identical

southern	western	rank for sample 1	rank for sample 2
5	7	18	20
1	1	5.5	5.5
18	3	23	12
8	3	21	12
5	3	18	12
5	0	18
2	3	8	12
4	4	15.5	15.5
3	0	12
2	2	8	8
0
9		22
0

southern      
sample size ,    n1 =    13
sum of ranks ,    R1 =    169
      
western      
sample size ,    n2 =    10
sum of ranks ,   R2 =    97
      
R=sum of ranks for smaller sample size =       97

W=97
      
mean ,µ =    n2(n1+n2+1)/2 = 120
      
std dev,σ =    √(n1*n2*(n1+n2+1)/12) =   16.1245
      
Z-stat =    (R - µ)/σ =    -1.4264

p value = 0.1538

conclusion: answer (option A)

since, p value >α , do not reject Ho, there is not sufficient evidence.....