Consider the following tabular summary: S O N Total U 200 133 34 367 W 166 73 21
ID: 3175172 • Letter: C
Question
Consider the following tabular summary:
S O N Total
U 200 133 34 367
W 166 73 21 260
Total 366 206 55 627 S=support O=oppose N=not sure U=Utah W=wyoming
You are interested in whether the place of residency is associated with the support of/opposition to regulating text messaging while driving.
1. State the research question.
2. State the hypotheses.
3. Perform an appropriate hypothesis test,,
4. Report all the relevant results, and interpret them.
5. Finally, answer the research question.
Explanation / Answer
we will apply chi test of association
1) weather the place of residency is associated with support /opposition to regulate the test matching
2) null hypothesis: place of residency is independent with support /opposition to regulate the test matching
alternate hypothesis:place of residency is associated with support /opposition to regulate the test matching
3)
4)from above chi square stat =5.610
for which p value=0.0605
5) as p value is higher then 0.05 level, we can not reject null hypothesis
Observed O S O N Total U 200 133 34 367 W 166 73 21 260 Total 366 206 55 627 Expected E=rowtotal*column total/grand total S O N Total U 214.230 120.577 32.193 367 W 151.770 85.423 22.807 260 Total 366 206 55 627 chi square =(O-E)^2/E S O N Total U 0.945 1.280 0.101 2.326 W 1.334 1.807 0.143 3.284 Total 2.279 3.086 0.245 5.610