Question

*“Early studies of the medicine in COVID-19 patients have
caught the attention of healthcare experts and market watchers. In
France, a professor conducted a small study of the malaria drug in
24 patients with novel coronavirus infections. Of those who
received the medicine, only 25% tested positive for the virus after
six days, according to en24. Meanwhile, of those who didn't receive
it, 90% tested positive after that timeframe. The French government
now plans to run larger studies.” Retrieved on April 4 from
https://www.fiercepharma.com/pharma/new-commitments-mylan-and-teva-move-to-supply-tens-millions-hydroxychloroquine-tablets-to*

*Dr. XYZ in Lebanon decides to test the drug and administers
it to 225 patients with novel coronavirus infection. 54 patients
tested positive for the virus after six days. Please help Dr. XYZ
answer the following questions*

Can Dr. XYZ conclude that in his trials the percent of patients taking the hydroxychloroquine (the malaria drug) is less than the reported 25% or is this difference due to chance? Test at the 0.05 significance level

Answer #1

*We have sample
proportion*

*Given population proportion P=25%=
0.25*

*Using the information
we have*

*Hypothesis:*

*H0: patients positive proportion for the virus after six days (P= 0.25)**H1: patients positive proportion for the virus after six days (P< 0.25) left tail test*

*Significance Level:
0.05*

*Test
Statistic:*

*Z= -
0.3464*

*Decision Rule: Reject
H0 if |z| > 1.645*

*Test statistic
|z| <
1.645*

*so do not reject
H0*

**Conclusion:**

*Dr.XYZ conclude that in his trials the percent of
patients taking the hydroxychloroquine (the malaria drug) is not
less than the reported 25% at the 0.05 significance
level.*

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