Question

In: Statistics and Probability

The outbreak of a new virus has recently reached Connecticut. According to CDC, since diahrrea is...

The outbreak of a new virus has recently reached Connecticut. According to CDC, since diahrrea is a rare symptom, the shortage of toilet paper is not related to the event. There are 169 towns in the state. In 70 towns there is no toilet paper shortage. In 20 towns some patients tested positive for the virus. In 9 towns there were positive tests and the toilet paper shortage. Are the events ’shortage of toilet paper’ and ’new virus’ outbreak dependent or independent? What’s the probability of the presence of the virus in a random town given the toilet paper shortage?

Solutions

Expert Solution

Observed (O)
New Virus Total
Positive Negative
Toilet paper Shortage Yes 9 90 99
No 11 59 70
Total 20 149 169
Expected (E )
New Virus
Positive Negative
Toilet paper Shortage Yes 11.72 87.28
No 8.28 61.72
(O-E)^2/E
New Virus
Positive Negative
Toilet paper Shortage Yes 0.63 0.08
No 0.89 0.12

Null Hypothesis: There is no association between the events ’shortage of toilet paper’ and ’new virus’ outbreak.

Alternative Hypothesis: There is an association between the events ’shortage of toilet paper’ and ’new virus’ outbreak.

orchestra answered 1 year ago
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