A phase three clinical trial for a new medication proposed to treat depression has 1191 participants. If all these individuals are from the group of individuals who were given the medication and 759 individuals who received the medication experienced improvement in their symptoms of depression, construct a 90% confidence interval for the true proportion of individuals on the medication who experienced improvement in their symptoms of depression.

A phase three clinical trial for a new medication proposed to treat depression has 1191 participants. If all these individuals are from the group of individuals who were given the medication and 759 individuals who received the medication experienced improvement in their symptoms of depression, construct a 90% confidence interval for the true proportion of individuals on the medication who experienced improvement in their symptoms of depression.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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#5. A phase three clinical trial for a new medication proposed to treat depression has 1191 participants. If all these individuals are from the group of individuals who given the medication and 759 individuals who received the medication experienced improvement in their symptoms of depression, construct a 90% confidence interval for the true proportion of individuals on the medication who experienced improvement in their symptoms of depression.
A phase three clinical trail for a new medication proposed to treat depression has 1191 participants. If all these individuals are from the group of individuals who were given the medication and 759 individuals who received the medication experienced improvement in their symptoms of depression, construct a 90% confidence interval for the true proportion of individuals on the medication who experienced improvement in their symptoms of depression.
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In order to judge the effectiveness of an advertising campaign for a certain brand of pretzel, a company obtained a simple random sample of 80 convenience store receipts the week before the ad campaign began, found that 16 of them showed a purchase of the pretzels. Another simple random sample of 50 receipts was taken the week after the ad campaign and 28 of them showed a pretzel purchase. Construct a 98% confidence interval for the difference between the proportions of customers purchasing pretzels before and after the ad campaign. Let p1 be the population proportion of convenience store receipts showed a purchase of the pretzels taken in the week before the ad campaign began, and p2 be the population proportion of convenience store receipts showed a purchase of the pretzels taken in the week after the ad campaign. •Find the point estimate. •Find the standard error. Round to four decimal places. •Find the margin of error. Round to four decimal places.
In order to judge the effectiveness of an advertising campaign for a certain brand of pretzel, a company obtained a simple random sample of 80 convenience store receipts the week before the ad campaign began, found that 16 of them showed a purchase of the pretzels. Another simple random sample of 50 receipts was taken the week after the ad campaign and 28 of them showed a pretzel purchase. Construct a 98% confidence interval for the difference between the proportions of customers purchasing pretzels before and after the ad campaign. Let p1 be the population proportion of convenience store receipts showed a purchase of the pretzels taken in the week before the ad campaign began, and p2 be the population proportion of convenience store receipts showed a purchase of the pretzels taken in the week after the ad campaign. 1. Find the point estimate. 2. Find the standard error. Round to four decimal places. 3. Find the margin of error. Round to four decimal places.
In order to judge the effectiveness of an advertising campaign for a certain brand of pretzel, a company obtained a simple random sample of 95 convenience store receipts the week before the ad campaign began, and found that 28 of them showed a purchase of the pretzels. Another simple random sample of 65 receipts was taken the week after the ad campaign, and 33 of them showed a pretzel purchase. Construct a 98% confidence interval for the difference between the proportions of customers purchasing pretzels before and after the ad campaign. Interpret the results. A marketing manager claims that the proportion of customers who purchased pretzels did not change after the ad campaign. Does the confidence interval contradict this claim?
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