suppose a new cancer treatment was given to a sample of 300 patients. The treatment was successful for 210 of the patients. Assume that these patients are representative of the population for whom the treatment would be successful, including a margin error.
Accepted Solution
A:
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%.