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A 20-minute consumer survey mailed to 500 adults aged 25-34 included a $5 Starbucks gift certificate. The same survey was mailed to 500 adults aged 25-34 without the gift certificate. There were 73 responses from the first group and 42 from the second group.

A 20-minute consumer survey mailed to 500 adults aged 25-34 included a $5 Starbucks gift certificate. The same survey was mailed to 500 adults aged 25-34 without the gift certificate. There were 73 responses from the first group and 42 from the second group.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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A 20-minute consumer survey mailed to 500 adults aged 25-34 included a $5 Starbucks gift certificate. The same survey was mailed to 500 adults aged 25-34 without the gift certificate. There were 73 responses from the first group and 42 from the second group.

Use the table below to summarize this information. Round all answers to four decimal places. Group Responded Did not respond Total Gift Card 500 No Gift Card 500 Total 1000 The company wants to know if the response rates for people who receive a gift certificate is higher than for people who do not. We will conduct a hypothesis test. 1. What are the hypotheses for this testing scenario? Ho: The variables Responded and Card are independent v. The difference in the response rates in the sample data is due to chance. HA: The variables are not independent v. The response rate in the gift card group is greater than v the response rate in the no gift card group. 2. Calculate the difference in response rates for these two groups: PCard- PNoCard = 3. The paragraph below describes the setup for a randomization test. We write gift card on cards and no gift card on cards. Then we shuffle the cards and split them into two groups: one group of size representing people who responded to the survey and one group of size representing people who did not respond to the survey. We calculate the proportion of the gift card group that responded and subtract the proportion of the no gift card group to get PCard,sim- PNoCard,sim and build a histogram of this simulated differences. Use the Two Proportion Resampling Test app embedded below to do this.
Transcribed Image Text:Use the table below to summarize this information. Round all answers to four decimal places. Group Responded Did not respond Total Gift Card 500 No Gift Card 500 Total 1000 The company wants to know if the response rates for people who receive a gift certificate is higher than for people who do not. We will conduct a hypothesis test. 1. What are the hypotheses for this testing scenario? Ho: The variables Responded and Card are independent v. The difference in the response rates in the sample data is due to chance. HA: The variables are not independent v. The response rate in the gift card group is greater than v the response rate in the no gift card group. 2. Calculate the difference in response rates for these two groups: PCard- PNoCard = 3. The paragraph below describes the setup for a randomization test. We write gift card on cards and no gift card on cards. Then we shuffle the cards and split them into two groups: one group of size representing people who responded to the survey and one group of size representing people who did not respond to the survey. We calculate the proportion of the gift card group that responded and subtract the proportion of the no gift card group to get PCard,sim- PNoCard,sim and build a histogram of this simulated differences. Use the Two Proportion Resampling Test app embedded below to do this.
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