Homework SourseA survey of 200 people was taken to determine whether distan
A survey of 200 people was taken to determine whether distance from voting center was related to the likelihood of voting. Based on these results, does it appear that these two variables are related at teh 10% level of significance?
| Likelihood | 0-5 miles | 5-10 miles | more than 10 miles | Total |
| Highly likely | 30 | 10 | 10 | 50 |
| Somewhat likely | 30 | 20 | 10 | 60 |
| Not likely | 50 | 25 | 15 | 90 |
| Total | 110 | 55 | 35 | 200 |
Solution
Set up null and alternate hypothesis as
H0: Distance from voting center is independent of liklihood of voting.
Ha:Distance from voting center is dependent of liklihood of voting.
Two tailed chi square test.
Prepare contingency table
chi-square = 2.51
degrees of freedom = 4
probability = 0.643
Alpha = 0.10 (given)
As p >alpha, accept null hypothesis.
There is no statistical evidence to support that it appear that these two variables are related at teh 10% level of significance
