Select the best XLSTAT printout to answer each question. Required conditions hav
ID: 3067099 • Letter: S
Question
Select the best XLSTAT printout to answer each question. Required conditions have been met for each question. A significance level of ?? = 0.05 is used for each hypothesis test and a confidence level of 95% is used for each confidence interval estimate
A random sample of a city was polled about who they supported in the upcoming election for mayor: Candidate A or Candidate B. Estimate the difference between the level of support for Candidate A and Candidate B. Printout # ___________________ LCL: _____________________ UCL: _____________________
Analysis of variance (Amount):
Source
DF
Sum of Squares
Mean Squares
F
pr>f
Model
3
3462.363
1154.121
13.555
<0.0001
Error
177
15070.775
85.146
Corrected Total
180
18533.138
T-test for two independent samples/ two-tailes tests:
95% confidence interval on the difference the means: ( 0.276 , 1.191 )
Fisher’s F-Test / Two-tailes test:
ratio
1.037
F oberserved value
1.037
F Critical value
2.979
DF1
14
DF2
14
p-value (two tailed)
0.947
alpha
0.05
Type l Sum of squares analysis (Var 1 ):
Source
DF
Sum of Sqaures
Mean Squares
F
pr > f
Q1
1
11.25
11.25
1.115
0.294
Q2
2
135.85
45.283
45.283
0.006
Q1*Q2
3
6.25
2.083
0.207
0.892
T-test for two independent samples / Two-tailes test:
Difference
0.733
t(observed value)
3.322
t(critival value)
2.074
DF
22
p-value
0.003
alpha
0.05
Z-test for two proportions / two-tailed test:
95% confidence interval on the difference the means: ( -0.025, 0.105 )
Type l sum of squares analysis:
Source
DF
Sum of Sqaures
Mean Squares
F
pr > f
Q1
4
616.421
154.105
4.714
0.002
Q2
19
3574.166
188.114
5.754
< 0.0001
T-test for two paired samples / upper tailed test:
Difference
0.583
t(observed value)
1.023
t(critival value)
1.796
DF
11
p-value
0.164
alpha
0.05
Z-test for two proportions / upper-tailed test:
Difference
0.04
z(observed value)
1.2
z(critival value)
1.645
p-value
0.115
alpha
0.05
Source
DF
Sum of Squares
Mean Squares
F
pr>f
Model
3
3462.363
1154.121
13.555
<0.0001
Error
177
15070.775
85.146
Corrected Total
180
18533.138
Explanation / Answer
The correct method that will be applicable in the given situation is Z test for two proportions / two tailed test as we want to estimate or test for the difference in level of support.
The confidence interval for difference in proportions is:
LCL: -.025
UCL: .105
Since the confidence interval contains the value zero hence we can conclude that the support for two candidates at 95% significance level is equivalent.
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