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

Total

New drug

176

24

200

Existing drug

168

32

200

They want to use these results to construct a 99% confidence interval to estimate the difference in the

proportion of these rats that would be cured under each drug (new - existing). Assume that all of the

conditions for inference have been met.

Which of the following is a correct 99% confidence interval based on their data?

Choose 1 answer:

8 +0.068

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

Total

New drug

176

24

200

Existing drug

168

32

200

They want to use these results to construct a 99% confidence interval to estimate the difference in the

proportion of these rats that would be cured under each drug (new - existing). Assume that all of the

conditions for inference have been met.

Which of the following is a correct 99% confidence interval based on their data?

Choose 1 answer:

8 +0.068

1
(1 star)

0

Using the

z-distribution, as we are working with a proportion, it is found that the 99% confidence interval is(-0.049, 0.129).## What is the mean and the standard error for the distribution of differences?

For

each sample, we have that:Hence, for the

distribution of differences,the mean and the standard error are given as follows:## What is the confidence interval?

It is

givenby:99% confidencelevel, hence, z is the value of Z that has a p-value of , so the critical value isz = 2.575.Then:

The 99% confidence interval is

(-0.049, 0.129).To learn more about the

z-distribution, you can check https://brainacademy.pro/question/25890103