Are Antimicrobial Ingredients Having the Opposite Effect? Triclosan is a compound often added to products such as soaps, lotions, and toothpaste. It is antimicrobial, so we expect it to lower one's chance of having a staph infection. However, the opposite was found in a recent study.¹ Microbiologists swabbed the noses of 90 people, and recorded which had detectable levels of triclosan and which had evidence of carrying the staph bacteria, which greatly increases one's chance of having a serious staph infection. The results are shown in the table below. P₁ = Triclosan P₂ = i No Triclosan Round your answers to three decimal places. P₁ = P₂ = Total i Staph 24 15 39 No Staph 13 38 Let group 1 be the people with triclosan in their system and group 2 be those without triclosan in their systems. Click here to access StatKey. ¹Mole B, "Triclosan aids nasal invasions by staph," Science News, April 15, 2014. 51 (a) What proportion of those with triclosan have the staph bacteria? What proportion of those without triclosan have the staph bacteria? What is the sample difference in proportions? Total 37 53 90

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16

(b) We wish to test to see if the effect found in the sample generalizes to the population. In testing to see if there is evidence that
people with triclosan are more likely to have staph bacteria, what are the null and alternative hypotheses?
Ho:
#
11
p-value =
H
MI
:: μ
vs Ha:¦
41
I₂
A
:: p
14₂
(c) Use StatKey or other technology to find the p-value for the test.
Round your answer to three decimal places.
:: p
^
:: P₁
:: P₁
A
:: P₂
:: P2
r
:: p
#I1
Transcribed Image Text:(b) We wish to test to see if the effect found in the sample generalizes to the population. In testing to see if there is evidence that people with triclosan are more likely to have staph bacteria, what are the null and alternative hypotheses? Ho: # 11 p-value = H MI :: μ vs Ha:¦ 41 I₂ A :: p 14₂ (c) Use StatKey or other technology to find the p-value for the test. Round your answer to three decimal places. :: p ^ :: P₁ :: P₁ A :: P₂ :: P2 r :: p #I1
Are Antimicrobial Ingredients Having the Opposite Effect?
Triclosan is a compound often added to products such as soaps, lotions, and toothpaste. It is antimicrobial, so we expect it to lower
one's chance of having a staph infection. However, the opposite was found in a recent study.¹ Microbiologists swabbed the noses of 90
people, and recorded which had detectable levels of triclosan and which had evidence of carrying the staph bacteria, which greatly
increases one's chance of having a serious staph infection. The results are shown in the table below.
Click here to access StatKey.
Triclosan
P₁ =
No
Triclosan
P₂ = i
Total
P₁ = P₂ =
Staph
24
15
39
No Staph
13
38
¹Mole B, "Triclosan aids nasal invasions by staph," Science News, April 15, 2014.
51
Let group 1 be the people with triclosan in their system and group 2 be those without triclosan in their systems.
Total
37
53
(a) What proportion of those with triclosan have the staph bacteria? What proportion of those without triclosan have the staph
bacteria? What is the sample difference in proportions?
Round your answers to three decimal places.
90
Transcribed Image Text:Are Antimicrobial Ingredients Having the Opposite Effect? Triclosan is a compound often added to products such as soaps, lotions, and toothpaste. It is antimicrobial, so we expect it to lower one's chance of having a staph infection. However, the opposite was found in a recent study.¹ Microbiologists swabbed the noses of 90 people, and recorded which had detectable levels of triclosan and which had evidence of carrying the staph bacteria, which greatly increases one's chance of having a serious staph infection. The results are shown in the table below. Click here to access StatKey. Triclosan P₁ = No Triclosan P₂ = i Total P₁ = P₂ = Staph 24 15 39 No Staph 13 38 ¹Mole B, "Triclosan aids nasal invasions by staph," Science News, April 15, 2014. 51 Let group 1 be the people with triclosan in their system and group 2 be those without triclosan in their systems. Total 37 53 (a) What proportion of those with triclosan have the staph bacteria? What proportion of those without triclosan have the staph bacteria? What is the sample difference in proportions? Round your answers to three decimal places. 90
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We have to find 

a..What proportion of those with triclosan have the staph bacteria? What proportion of those without triclosan have the staph bacteria? What is the sample difference in proportions?.

b..We wish to test to see if the effect found in the sample generalizes to the population. In testing to see if there is evidence that people with triclosan are more likely to have staph bacteria, what are the null and alternative hypotheses?

 

c..p value 

 

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