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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