(a) Construct a 90% confidence interval for the difference between the proportions of customers purchasing pretzels before and after the ad campaign. Let p, denote the proportion of customers purchasing pretzels before the ad campaign. Use tables to find the critical value and round the answer to at least three decimal places. A 90% confident that the difference between the proportions of customers purchasing pretzels before and after the ad campaign is
(a) Construct a 90% confidence interval for the difference between the proportions of customers purchasing pretzels before and after the ad campaign. Let p, denote the proportion of customers purchasing pretzels before the ad campaign. Use tables to find the critical value and round the answer to at least three decimal places. A 90% confident that the difference between the proportions of customers purchasing pretzels before and after the ad campaign is
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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![**Title**: Analyzing the Effectiveness of an Advertising Campaign for Pretzels
**Introduction**
A company tested the effectiveness of an advertising campaign for its pretzels by sampling receipts from convenience stores. They conducted two random samples: 92 receipts from the week before the campaign and 72 receipts from the week after.
**Sample Findings**
- **Before the Campaign**: Out of 92 receipts, 27 showed a purchase of pretzels.
- **After the Campaign**: Out of 72 receipts, 41 showed a purchase of pretzels.
**Objective**
(a) Construct a 90% confidence interval to determine the difference in the proportions of customers purchasing pretzels before and after the ad campaign. Let \( p_1 \) denote the proportion of purchases before the campaign. Use statistical tables for the critical value and ensure the results are rounded to three decimal places.
**Task**
Determine the interval that reflects the difference between the two proportions: \( \text{[lower bound]} < p_1 - p_2 < \text{[upper bound]} \).
**Conclusion**
Assess whether the advertising campaign had a significant impact on pretzel purchases by analyzing the confidence interval.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F231fae22-ac62-4382-9eb0-95d912af77d1%2F7b1e6168-a701-4a0f-bf8b-bd64c01636db%2Fqlsk8ai_processed.png&w=3840&q=75)
Transcribed Image Text:**Title**: Analyzing the Effectiveness of an Advertising Campaign for Pretzels
**Introduction**
A company tested the effectiveness of an advertising campaign for its pretzels by sampling receipts from convenience stores. They conducted two random samples: 92 receipts from the week before the campaign and 72 receipts from the week after.
**Sample Findings**
- **Before the Campaign**: Out of 92 receipts, 27 showed a purchase of pretzels.
- **After the Campaign**: Out of 72 receipts, 41 showed a purchase of pretzels.
**Objective**
(a) Construct a 90% confidence interval to determine the difference in the proportions of customers purchasing pretzels before and after the ad campaign. Let \( p_1 \) denote the proportion of purchases before the campaign. Use statistical tables for the critical value and ensure the results are rounded to three decimal places.
**Task**
Determine the interval that reflects the difference between the two proportions: \( \text{[lower bound]} < p_1 - p_2 < \text{[upper bound]} \).
**Conclusion**
Assess whether the advertising campaign had a significant impact on pretzel purchases by analyzing the confidence interval.
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