(a) Suppose we're interested detecting whether there is a significant difference in the duration of effusion depending on whether a baby is breastfed versus if they are bottle-fed. What hypotheses are being tested here (in days)? (Enter != for + as needed.) Ho: H₁: 100

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A common symptom of otitis media in young children is the prolonged presence of fluid in the middle ear, known as middle-ear effusion. The presence of fluid may result in temporary hearing loss and interfere with normal learning skills in the first 2 years of life.
One hypothesis is that babies who are breastfed for at least 1 month build up some immunity against the effects of the infection and have less prolonged effusion than do bottle-fed babies. A small study of 24 pairs of babies is set up, in which the babies are
matched on a one-to-one basis according to age, sex, socioeconomic status, and type of medications taken. One member of the matched pair is a breastfed baby, and the other member is a bottle-fed baby. The outcome variable is the duration of middle-ear
effusion after the first episode of otitis media. The results are given in the table below.
Duration of Middle-Ear Effusion in Breastfed and Bottle-Fed Babies
Pair Number
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
Duration of Effusion in
Breastfed Baby (days)
20
11
3
24
7
28
58
7
39
17
17
12
52
14
12
30
7
15
65
10
7
19
34
25
Duration of Effusion in
Bottle-Fed Baby (days)
19
36
8
183
6
34
224
7
58
75
185
28
38
15
22
27
8
26
76
11
8
15
27
19
Transcribed Image Text:A common symptom of otitis media in young children is the prolonged presence of fluid in the middle ear, known as middle-ear effusion. The presence of fluid may result in temporary hearing loss and interfere with normal learning skills in the first 2 years of life. One hypothesis is that babies who are breastfed for at least 1 month build up some immunity against the effects of the infection and have less prolonged effusion than do bottle-fed babies. A small study of 24 pairs of babies is set up, in which the babies are matched on a one-to-one basis according to age, sex, socioeconomic status, and type of medications taken. One member of the matched pair is a breastfed baby, and the other member is a bottle-fed baby. The outcome variable is the duration of middle-ear effusion after the first episode of otitis media. The results are given in the table below. Duration of Middle-Ear Effusion in Breastfed and Bottle-Fed Babies Pair Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 Duration of Effusion in Breastfed Baby (days) 20 11 3 24 7 28 58 7 39 17 17 12 52 14 12 30 7 15 65 10 7 19 34 25 Duration of Effusion in Bottle-Fed Baby (days) 19 36 8 183 6 34 224 7 58 75 185 28 38 15 22 27 8 26 76 11 8 15 27 19
(a) Suppose we're interested detecting whether there is a significant difference in the duration of effusion depending on whether a baby is breastfed versus if they are bottle-fed. What hypotheses are being tested here (in days)? (Enter != for as needed.)
Ho:
H₁:
Transcribed Image Text:(a) Suppose we're interested detecting whether there is a significant difference in the duration of effusion depending on whether a baby is breastfed versus if they are bottle-fed. What hypotheses are being tested here (in days)? (Enter != for as needed.) Ho: H₁:
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