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.GroupRespondedDid not respondTotalGift Card500No Gift Card500Total1000The 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 ahypothesis test.1. What are the hypotheses for this testing scenario?Ho: The variables Responded and Cardare independentv. The difference in the response rates in the sample dataisdue 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 cardgroup.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 oncards and no gift card oncards. Then we shuffle the cards and split them into two groups: onegroup of sizerepresenting people who responded to the survey and one group of sizerepresenting people who did notrespond 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,simand build a histogram of this simulated differences. Use the Two Proportion Resampling Test app embedded below to do this.

Given: Total adults = 500 A 20-minute consumer survey mailed to 500 adults aged 25-34 included a $5…

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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