A survey was conducted two years ago asking college students their top motivations for using a credit card. You think this distribubon has changed. You randomly select 425 college students and asK ach one what the top motivation is for using a credit card. Can you conclude that there has been a change in the distribution? Use a= 0.025. Complete parts (a) through (d). Response Old Survey % 27% New Survey Frequency. 110 Rewards Vhat is the null hypothesis, Ho? OA. The distribution of motivations is 110 rewards, 97 low rate, 107 cash back, 46 discounts, and 65 other. OB. The distribution of motivations is 27% rewards, 24% low rate, 21% cash back, 8% discounts, and 20% other. OC. The distribution of motivations differs from the old survey. Please copy and paste data from text area below. Selected delimiter: Tab Vhat is the alternate hypothesis, H,? Response Old survey New Survey Frec Rewards 278 110 OA. The distribution of motivations is 110 rewards, 97 low rate, 107 cash back, 46 discounts, and 65 other. Low rates 248 97 OB. The distribution of motivations is 27% rewards, 24% low rate, 21% cash back, 8% discounts, and 20% other. Cash back 21% 107 OC. The distribution of motivations differs from the old survey. Discounts 46 Other 208 65 Vhich hypothesis is the claim? Done b) Determine the critical value, Xo. and the rejection region. (o=(Round to three decimal places as needed.) Choose the correct rejection region below.
A survey was conducted two years ago asking college students their top motivations for using a credit card. You think this distribubon has changed. You randomly select 425 college students and asK ach one what the top motivation is for using a credit card. Can you conclude that there has been a change in the distribution? Use a= 0.025. Complete parts (a) through (d). Response Old Survey % 27% New Survey Frequency. 110 Rewards Vhat is the null hypothesis, Ho? OA. The distribution of motivations is 110 rewards, 97 low rate, 107 cash back, 46 discounts, and 65 other. OB. The distribution of motivations is 27% rewards, 24% low rate, 21% cash back, 8% discounts, and 20% other. OC. The distribution of motivations differs from the old survey. Please copy and paste data from text area below. Selected delimiter: Tab Vhat is the alternate hypothesis, H,? Response Old survey New Survey Frec Rewards 278 110 OA. The distribution of motivations is 110 rewards, 97 low rate, 107 cash back, 46 discounts, and 65 other. Low rates 248 97 OB. The distribution of motivations is 27% rewards, 24% low rate, 21% cash back, 8% discounts, and 20% other. Cash back 21% 107 OC. The distribution of motivations differs from the old survey. Discounts 46 Other 208 65 Vhich hypothesis is the claim? Done b) Determine the critical value, Xo. and the rejection region. (o=(Round to three decimal places as needed.) Choose the correct rejection region below.
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![A survey was conducted two years ago asking college students their top motivations for using a credit card. You think this distribution has changed. You randomly select 425 college students and ask
each one what the top motivation is for using a credit card. Can you conclude that there has been a change in the distribution? Use a = 0.025. Complete parts (a) through (d).
Old Survey %
New Survey Frequency, f
Response
Rewards
27%
110
What is the null hypothesis, Ho?
O A. The distribution of motivations is 110 rewards, 97 low rate, 107 cash back, 46 discounts, and 65 other.
O B. The distribution of motivations is 27% rewards, 24% low rate, 21% cash back, 8% discounts, and 20% other.
O C. The distribution of motivations differs from the old survey.
Please copy and paste data from text area below.
Selected delimiter: Tab
Old Survey %
What is the alternate hypothesis, H,?
Response
New Survey
Frec
Rewards
27%
110
O A. The distribution of motivations is 110 rewards, 97 low rate, 107 cash back, 46 discounts, and 65 other.
Low rates
24%
97
O B. The distribution of motivations is 27% rewards, 24% low rate, 21% cash back, 8% discounts, and 20% other.
Cash back
21%
107
OC. The distribution of motivations differs from the old survey.
Discounts
8%
46
other
20%
65
Which hypothesis is the claim?
O Ho
O Ha
Done
2
(b) Determine the critical value, Yo, and the rejection region.
X6 = (Round to three decimal places as needed.)
Choose the correct rejection region below.
O A. X 2X0
O B. X >Xo
Oc. Xsx
O D. X <Xo
(c) Calculate the test statistic.
= (Round to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.
V Ho. At the 2.5% significance level, there
V enough evidence to conclude that the distribution of motivations
V the old survey.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda6faddd-a84f-4d8b-94b7-6f2c3fcecfb0%2F0b4f4699-3c8f-498e-b8e8-3dff6a429538%2F6qurwpp_processed.png&w=3840&q=75)
Transcribed Image Text:A survey was conducted two years ago asking college students their top motivations for using a credit card. You think this distribution has changed. You randomly select 425 college students and ask
each one what the top motivation is for using a credit card. Can you conclude that there has been a change in the distribution? Use a = 0.025. Complete parts (a) through (d).
Old Survey %
New Survey Frequency, f
Response
Rewards
27%
110
What is the null hypothesis, Ho?
O A. The distribution of motivations is 110 rewards, 97 low rate, 107 cash back, 46 discounts, and 65 other.
O B. The distribution of motivations is 27% rewards, 24% low rate, 21% cash back, 8% discounts, and 20% other.
O C. The distribution of motivations differs from the old survey.
Please copy and paste data from text area below.
Selected delimiter: Tab
Old Survey %
What is the alternate hypothesis, H,?
Response
New Survey
Frec
Rewards
27%
110
O A. The distribution of motivations is 110 rewards, 97 low rate, 107 cash back, 46 discounts, and 65 other.
Low rates
24%
97
O B. The distribution of motivations is 27% rewards, 24% low rate, 21% cash back, 8% discounts, and 20% other.
Cash back
21%
107
OC. The distribution of motivations differs from the old survey.
Discounts
8%
46
other
20%
65
Which hypothesis is the claim?
O Ho
O Ha
Done
2
(b) Determine the critical value, Yo, and the rejection region.
X6 = (Round to three decimal places as needed.)
Choose the correct rejection region below.
O A. X 2X0
O B. X >Xo
Oc. Xsx
O D. X <Xo
(c) Calculate the test statistic.
= (Round to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.
V Ho. At the 2.5% significance level, there
V enough evidence to conclude that the distribution of motivations
V the old survey.
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