A recent sample of adults was asked their opinions regarding government spending
ID: 3133941 • Letter: A
Question
A recent sample of adults was asked their opinions regarding government spending on health and government spending on law enforcement. Use a 5% level of significance. 1) Write out the appropriate null hypothesis and the alternative hypothesis; 2) Calculate the test statistic (show your work); 3) Give your conclusion including a comparison to alpha or the critical value.
Law Enforcement Spending
Health Spending
Increase
Decrease
Total
Increase
292
25
317
Decrease
14
9
23
Total
306
34
340
Law Enforcement Spending
Explanation / Answer
1) H0: the two spendings are independent
H1: the two spendings are dependent
2)
Law Enforcement Spending
Health Spending
Increase
Decrease
Total
Increase
292=a
25=b
317=a+b
Decrease
14=c
9=d
23=c+d
Total
306=a+c
34=b+d
340=N
Chi square=N(ad-bc)^2/(a+b)(c+d)(a+c)(b+d)
=23.25
df=1
critical value=6.65
3) alpha=5%
critical value =6.65
since chi square value is > critical value, we reject H0.
Law Enforcement Spending