From the list given to you for each of the following hypothesis testing situatio
ID: 3175393 • Letter: F
Question
From the list given to you for each of the following hypothesis testing situations, indicate the non-parametric test you would use and explain the reason
1) X 2 Test for Association (Test # 9)
2) Fisher Exact Test (Test# 10)
3) McNemar’s test for Matched –Pair Data (Test# 11)
4) Two Sample test for independent proportions (Test # 12)
A) In a clinical trial researchers want to test the effectiveness of a new antibiotic eye drop for the treatment of bacterial conjunctivitis. Participants are asked to use the new antibiotic eye drop in one eye and another eye drop medication in the other. The success of the treatment (yes/no) is recorded for each participant for each eye.
B) The following 2 x 2 table of gender of bipolar patients by their responsiveness to medication is provided.
Responds Well to Medication
Female
Male
Yes
16
4
No
5
24
C) Researchers want to assess if voting behavior varies by social class. Ho: Voting behavior does not differ by social class. The following table 2 x 2 table is provided
Social Class
Vote for
Upper
Middle
Working
Lower
Total
Yes
20
25
15
30
90
No
12
17
19
25
73
163
D) The BRFSS report indicated that in 2014, 75% of adult Americans saw a dentist in the past year. An investigator wants to assess whether use of dental services is different among adults living in Chicago. A sample of 100 adults 18 years of age and older is surveyed and 63 reported seeing a dentist over the past 12 months. Is there a significant difference in the proportion of adults living in Chicago who use dental services as compared to the national proportion?
Responds Well to Medication
Female
Male
Yes
16
4
No
5
24
Explanation / Answer
A)AS same individual is using different eye drop in two eyes ,so data is matched sample and hence McNemar’stest for Matched Pair data should be applied.
B)As males and females are independent, so Fisher Exact Test would be used to know the independence of response and medication as this is 2 by 2 table.
C)As social class are independent groups having more than 2 categories and both variables vote and social class are nominal, so 2
D) As two independent proportions are to be compared, so Two Sample test for independent proportions should be used.
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