Question

please only answer question 4, also show work

(9 points) A 20-minute consumer survey mailed to 300 adults aged 25-34 included a $5 Starbucks gift certificate. The same survey was mailed to 300 adults aged 25-34 without the gift certificate. There were 46 responses from the first group and 20 from the second group Use the table below to summarize this information. Round all answers to four decimal places Responded Did not respond Group Gift Card 46 No Gift Card 20 Total 66 254 280 534 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? are independent . The difference in the response rates in the sample data is due Ho: The variables Responded and Card to chance. The variables are not independent The response rate in the gift card group is greater than the response rate in the no gift card group 2. Calculate the difference in response rates for these two groups: Cardo D NoCard .0866 3. The paragraph below describes the setup for a randomization test. We write gift card on 300 cards and no gift card on 300 cards. Then we shuffle the cards and split them into two groups: one group of size 66 representing people who responded to the survey and one group of size 534 representing people who did not respond to the survey.

Answer 1

Answer 2) Null and Alternative hypotheses:- Ho the variables baill and lesponses are independest: the difference in the response gates in the Surface data is due to chance. 1. Hai the variables are dependent. The response Mate in the gift card group is greater than the response date in the no gift card group. s ficard); Responded - = 0.153 Ộ (No cald) - Diahot Respond' = 2:00 = 0.066 Total - Difference in sresponse of these two groups = (bord - No card) – 0.153-0.067 : = 0.086 300 LO - Ô card). § (No card)-0.086 . 3) we write gift card on 300 cards and noget card on 300 cards. Then we shufflet split them into two groups: one group of size 66 respotesenting peopo who responded to the survey and one group Size 534 srepresenting people who did nolyes to the survey. ocards. Then we shuffle the cards and Коцоор ble respond