Pharmaceutical scientists tested the effectiveness of a new drug designed to cure malaria. They randomly assigned 400 infected lab rats to receive either the new drug or an existing drug and recorded how many rats were cured at the end of the study. Here are their results:

cured not cured
new drug 176 24
existing drug 68 32

They want to use these results to construct a 90% confidence interval for the difference in the proportion of these rats that would be cured under cach drug (new minus cxisting)
(a) Find the confidence interval
(b) Would you still be able to construct a confidence interval in this case if the sample size is 32 very small? Why?