Suppose a new cancer treatment was given to a sample of 300 patients. The treatment was successful for 210 of the patients. Assu

Question

3 years ago

12

Suppose a new cancer treatment was given to a sample of 300 patients. The treatment was successful for 210 of the patients. Assu

me that these patients are representative of the population for whom the treatment would be successful, including a margin error.

Mathematics

2 answers:

Bingel [31] · Answer 1 · 2022-05-25T12:57:51+03:00

Answer:

a. 70% ± 5.3%

Step-by-step explanation:

The proportion is:

p = 210 / 300 = 0.7

The margin of error is:

ME = z √(p (1 − p) / n)

where z is the critical value, p is the proportion, and n is the sample size.

For a 95% confidence interval, z ≈ 2.

ME = 2 √(0.7 (1 − 0.7) / 300)

ME = 0.053

So the proportion is 70% ± 5.3%.

Stells [14] · Answer 2 · 2022-05-25T14:40:05+03:00

Answer:

a. 70% ± 5.3%

Step-by-step explanation:

Supposing a new cancer treatment was given to a sample of 300 patients and the treatment was successful for 210 of the patients. These patients are representative of the population for whom the treatment would be successful, including a margin error. Therefore, the answer is 70% ± 5.3%.