Which test will be correct for the following problem. 2. A community psychologis
ID: 3127011 • Letter: W
Question
Which test will be correct for the following problem. 2. A community psychologist is interested in whether signs containing encouraging messages or warning messages are more effective in increasing the vaccination rate in inner-city clinics. He chooses 2 clinics with similar numbers of child patients of similar ages. He posts encouraging-type signs in one clinic and warning-type signs in another and records the number of vaccinations per week over a period of 10 weeks. Is there a significant difference between the groups based on the type of sign? Choose the correct test to analyze this question, set up the SPSS file, and run the analysis. Follow the directions under the table below.
Explanation / Answer
(will use minitab software to made the answer)
A)
firstly we can assume normality with the data of two samples. Then will procceds with two sample t-test. and take decision with the help of p-value
Two-sample T for Encouraging vs Warning
N Mean StDev SE Mean
Encouraging 10 11.60 5.02 1.6
Warning 10 10.70 5.46 1.7
Difference = (Encouraging) - (Warning)
Estimate for difference: 0.90
95% CI for difference: (-4.02, 5.82)
T-Test of difference = 0 (vs ): T-Value = 0.38 P-Value = 0.706 DF = 18
Both use Pooled StDev = 5.2414
p-value > 0.05 =significance level hence we accept H0
B) here we may not assume any distribution and will procced with non-parametric test for equality of two median
Mann-Whitney Test : Encouraging, Warning
N Median
Encouraging 10 11.500
Warning 10 10.000
Point estimate for 1 - 2 is 1.000
95.5 Percent CI for 1 - 2 is (-5.001,5.999)
W = 111.0
Test of 1 = 2 vs 1 2 is significant at 0.6776
here also p-value > 0.05 =significance level hence we accept H0
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