Consider a study design too investigate the following claim: A medical eye drop is effective in relieving itchy eyes.
Two designs are proposed for the study.
Plan A: Obtain 240 volunteers from the population of people with itchy eyes. Randomly sign 160 of the volunteers to use the medicated eye drop each day. Assign the remaining 80 volunteers to use a placebo each day Observe the number of people who experience relief in cacla group after one week
Plan B: Randomly select 24 people from the population of people with itchy eyes too use medicated eye drop each day and observe the number of people who experience relief at one week
a)Give an example of what people assigned to use a phoebo in Plan A might be asked to use instead of the medicated eye drop. Explain the benefit of the placebo in the context of the study
b) For which plan can the results of the study be generalized to all people who have itchy eves? Explain, in the context of the study the characteristic of the plan that allows for this generalization

A researcher conducted the study described in Plan A aud satinated the difference in the proportions of people im to those in the study who would experience relief for the two treatments. Assume all conditions for two treatments were met. The resulting 99 percent confidence taval (Medicated Eye Drop mus Paco) is 0.13 plus or minus0.15.
C)Does the 99 percent confidence interval provide evidence to support the claim? Justify your answer
D) Suppose that the researcher instead decided we compute a 95 percent confidence interval for the same sample data. Would this change impact your answer in part (c)? Explain your reasoning
The researcher plans to randomly select people from the study, one at a time and without replacement, to be interviewed. The interviews will continue until 20 people who have received the medicated eye drop are interviewed. Ley The random variable A represents the total number of people interviewed.
E)Explain the context of the study, why the random variable A does not follow binomial distribution