Question

Use R-studio to answer:

The drug Clarinex is used to treat allergic symptoms. In a clinical trial of this drug, 2.1% of the 1,655 treated subjects experienced fatigue. Of the 1,652 subjects who received placebos, 1.2% experienced fatigue (according to data from the Schering Corporation). Use a significance level of 0.05 to test the claim that the incidence of fatigue is higher among individuals who used Clarinex. Should fatigue  concern those taking Clarinex?

Answer 1

Solution

> p1=0.021
> n1=1655
> p2=0.012
> n2=1652
> x1=p1*n1
> x1=round(p1*n1)
> x1
[1] 35
> x2=round(p2*n2)
> x2
[1] 20

# H0: P1=P2

#H1 : P1>P2
> test=prop.test(x=c(x1,x2),n=c(n1,n2),alternative = "greater")
> test

   2-sample test for equality of
   proportions with continuity correction

data: c(x1, x2) out of c(n1, n2)
X-squared = 3.5981, df = 1, p-value =
0.02892
alternative hypothesis: greater
95 percent confidence interval:
0.001127252 1.000000000
sample estimates:
prop 1 prop 2
0.02114804 0.01210654

> test$p.value
[1] 0.02892238

#Conclusion : Since the p-value = 0.02892238 < 0.05 level of significance so we reject the null hypothesis and conclude that the incidence of fatigue is higher among individuals who used Clarinex.

Yes, fatigue concern those taking Clarinex