A team of eye surgeons has developed a new technique for risky eye operations to restore the sight of people that have a certain disease

Question

A team of eye surgeons has developed a new technique for risky eye operations to restore the sight of people that have a certain disease, An SRS of 100 patients who have had the surgery revealed that 32% of the patients" vision Was restored, Have the conditions for caleulating a confidence interval for a proportion been satisfied?

Answer 1

Randomization : data collected from simple random sample.

Normal: the data is said to be normally distributed.

If np(1-p) > 10

np(1-p) = 100*0.32(10.32) = 21.76

Independence: sample are selected at random from

population.

Random: The data come from a well-designed random sample or randomized experiment. 2. Normal: The sampling distribution of the statistic is approximately Normal.

3. Independent: Individual observations are independent. When sampling without replacement, the sample size n should be no more than 10% of the population size N (the 10% condition) Yes. All conditions are satisfied to construct confidence interval.