Question

Test of equal or given proportions: Use the “bacteria” data set to answer the question, “did the drug treatment have a significant effect of the presence of the bacteria compared with the placebo?”

Please use R to answer this question.

It should be use In R studio. dataset is also in the R

Answer 1

The R output is:

The R code is:

library(MASS)
data(bacteria)
prop=bacteria[[1]]
table(prop)
x=0
n=length(prop)
for(i in 1:n)
{ if(prop[i]=="y")
x=x+1
}
prop.test(x=x,n=n,p=0.5,alternative='greater')

The hypothesis being tested is:

H₀: p = 0.5

H_a: p > 0.5

The p-value is 0.0000.

Since the p-value (0.0000) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that drug treatment have a significant effect on the presence of the bacteria compared with the placebo.