The Ebola virus seems to have surged recently with a new outbreak in West Africa
ID: 3127471 • Letter: T
Question
The Ebola virus seems to have surged recently with a new outbreak in West Africa and the first confirmed case in the US. The World Health Organization (WHO) reported on September 5, 2014 the number of confirmed cases in African over the prior 21 days was 37.52 per day. It has been stated that Guinea has a much lower average than the other affected countries, with a lower average per day. Data was collected from Guinea over the same 21 days and found they had an average of 28.58 confirmed cases per day with a standard deviation of 9.48.
a. At the 0.01 level, can you say that Guinea really does have a lower average than the rest of Africa? Show work as stated in the quiz directions.
Explanation / Answer
Formulating the null and alternative hypotheses,
Ho: u >= 37.52
Ha: u < 37.52
As we can see, this is a left tailed test.
Thus, getting the critical t,
df = n - 1 = 20
tcrit = - 2.527977003
Getting the test statistic, as
X = sample mean = 28.58
uo = hypothesized mean = 37.52
n = sample size = 21
s = standard deviation = 9.48
Thus, t = (X - uo) * sqrt(n) / s = -4.321542902
Also, the p value is
p = 0.000165871
As |t| > 2.52798, and P < 0.01, we REJECT THE NULL HYPOTHESIS.
Hence, there is significant evidence at 0.01 level that Guinea really does have a lower average cases per day of Ebola than the rest of Africa. [CONCLUSION]
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.