Question#1

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

Cesiderataly designed to in sale she followme can medicated eyedrop is effective in relieving i tching opes Two designs are proposed for the study Plan A: Obni 240 volunteers from the population of people with itchy eyes. Randomly sign 160 of the volunteers to use the inedicated eye drop each day. Assign the remaining 80 volunteers to use a placeho each day Observe the number of people who experience relief in cacla group after one week Phan B: Randomly select 24 people from the population of people with itchy eyes lo use thorodicuted eye drop each day and observe the number of people who expenence relief at one week ) 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 slady (6) 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 nosearcher 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 treatmenty Assume all conditions for merence were met. The resulting 99 percent confidence taval (Viedicated Eye Drop mus Paco) is 0.13 0.15. to Does the 99 percent confidence interval provide evidence to support the claim? Justify your answer d) Suppose that the researcher unstead decided w computea 95 percent confidence interval for the sume sample data. Would this change impact your answer in part (c)? Explain your reasoting The reseaiceat plans to randomly select people from the study, one at a time and without replacement, in be interviewed The nterviews will continue il 20 people who had received the hodicaled ove drop are interviewed Tat the random vorable A represent the total number of pero ewed (Explain the context of the study, te rodo vale docs pt Rollow a binomial tulong medicated eyedrop is effective in relieving itang apps Two designs are proposed for the study. Plan A: Obtain 140 volunteers from the population of people with itchy eyes. Randomly assign 160 of the volunteers to use the medicated eve drop each day. Assign the remaining 80 volunteers to use a placebo each day Observe the number of people who experience relief in each group after one week. Plan B: Randomly select 240 people from the population of people with itchy eyes to use the medicated eye drop each day and observe the number of people who experience relief ader one week 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) Por which plan can the results of the study be generalized to all people who have itehy eves? Explain, in the context of the study, the characteristic of the plan that allows for this generalization IR A might be asked to use of the medicated eye drop. Explain the benefit of the placebo m 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 An searcher conducted the study described in Plan A and estonated the difference in the proportions of people similar to those in the study who would experience relief for the two treatments Assume ali conditions for mfumance were met. The resulting 99 percent confidence terval (Medicated Eye Drop minus Placebo) is 0.13-0.15. (c) Does the 99 percent confidence interval provide evidence to support the claim? lustify your alsWCE (d) Suppose that the researcher mstead decided to compute a 95 percent confidence interval for the same sample dawa. Would this change impact your answer in part (c)? Explain your reasoning The rescatches plans to randomly selcet people from the study, one at a time and without replacement to be interviewed. The interviews will continue until 20 people who had received the edicated eye drop are mterviewed. Let the random valable A represent the total number of people interviewed tej sxplain. In the context of the study, wily the random vanable does not follow a binomial that oution Cesiderataly designed to in sale she followme can medicated eyedrop is effective in relieving i tching opes Two designs are proposed for the study Plan A: Obni 240 volunteers from the population of people with itchy eyes. Randomly sign 160 of the volunteers to use the inedicated eye drop each day. Assign the remaining 80 volunteers to use a placeho each day Observe the number of people who experience relief in cacla group after one week Phan B: Randomly select 24 people from the population of people with itchy eyes lo use thorodicuted eye drop each day and observe the number of people who expenence relief at one week ) 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 slady (6) 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 nosearcher 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 treatmenty Assume all conditions for merence were met. The resulting 99 percent confidence taval (Viedicated Eye Drop mus Paco) is 0.13 0.15. to Does the 99 percent confidence interval provide evidence to support the claim? Justify your answer d) Suppose that the researcher unstead decided w computea 95 percent confidence interval for the sume sample data. Would this change impact your answer in part (c)? Explain your reasoting The reseaiceat plans to randomly select people from the study, one at a time and without replacement, in be interviewed The nterviews will continue il 20 people who had received the hodicaled ove drop are interviewed Tat the random vorable A represent the total number of pero ewed (Explain the context of the study, te rodo vale docs pt Rollow a binomial tulong medicated eyedrop is effective in relieving itang apps Two designs are proposed for the study. Plan A: Obtain 140 volunteers from the population of people with itchy eyes. Randomly assign 160 of the volunteers to use the medicated eve drop each day. Assign the remaining 80 volunteers to use a placebo each day Observe the number of people who experience relief in each group after one week. Plan B: Randomly select 240 people from the population of people with itchy eyes to use the medicated eye drop each day and observe the number of people who experience relief ader one week 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) Por which plan can the results of the study be generalized to all people who have itehy eves? Explain, in the context of the study, the characteristic of the plan that allows for this generalization IR A might be asked to use of the medicated eye drop. Explain the benefit of the placebo m 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 An searcher conducted the study described in Plan A and estonated the difference in the proportions of people similar to those in the study who would experience relief for the two treatments Assume ali conditions for mfumance were met. The resulting 99 percent confidence terval (Medicated Eye Drop minus Placebo) is 0.13-0.15. (c) Does the 99 percent confidence interval provide evidence to support the claim? lustify your alsWCE (d) Suppose that the researcher mstead decided to compute a 95 percent confidence interval for the same sample dawa. Would this change impact your answer in part (c)? Explain your reasoning The rescatches plans to randomly selcet people from the study, one at a time and without replacement to be interviewed. The interviews will continue until 20 people who had received the edicated eye drop are mterviewed. Let the random valable A represent the total number of people interviewed tej sxplain. In the context of the study, wily the random vanable does not follow a binomial that oution