Question

Two different drugs, X and Y, are currently in use to treat a certain condition. About 7 percent of the people using either drug experience side effects. A random sample of 75 people using drug X and a random sample of 150 people using drug Y are selected. The proportion of people in each sample who experience side effects is recorded. Are the sample sizes large enough to assume that the sampling distribution of the difference in sample proportions is approximately normal?
(A) Yes. Both sample sizes are large enough.
(B) No. The sample size for drug X is large enough, but the sample size for drug Y is not.
(C) No. The sample size for drug Y is large enough, but the sample size for drug X is not.
(D) No. Neither sample size is large enough.
(E) There is not enough information provided to determine whether the sampling distribution is approximately normal.

Answer 1

Answer:

C

Step-by-step explanation:

No. The sample size for drug Y is large enough, but the sample size for drug X is not.

Answer 2

Answer:

(E) There is not enough information provided to determine whether the sampling distribution is approximately normal.

Step-by-step explanation:

Since we do not have the original number of patients from which the data of 7 percent of patients had side effects came from, we cannot judge whether the second sample batch size is large enough.

For example, if the original batch size was, say, 100 patients, the second batch size would be enough for Y but not for X. If the original was, say, 50, then both would be enough. However, if the batch size was 200, then both would not be enough.

Hope this helped!