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= 0.05. Complete parts (a) through (d). Response Old Survey % 27% New Survey Frequency, fO Rewards Low rates Cash back Discounts 112 96 23% 22% 108 7% 47 Other 21% 62 (b) Determine the cntical value, Xo, and the rejection region. Xo=(Round to three decimal places as needed.) Choose the correct rejection region below. O A. X'sx, OB. X>x OC. X 2Xo OD. X

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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 =0.05. Complete parts (a) through (d).
Response
Old Survey %
27%
23%
22%
New Survey Frequency, f O
112
Rewards
Low rates
Cash back
Discounts
Other
96
108
7%
47
21%
62
(b) Determine the cntical value, Xo, and the rejection region.
X =(Round to three decimal places as needed.)
Choose the correct rejection region below.
O B. X>x
OD. X<x
O A. X sXo
OC.
(c) Calculate the test statistic.
X = (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 Họ. At the 5% significance level, there
V enough evidence to conclude that the distribution of motivations
V the old survey.
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 =0.05. Complete parts (a) through (d). Response Old Survey % 27% 23% 22% New Survey Frequency, f O 112 Rewards Low rates Cash back Discounts Other 96 108 7% 47 21% 62 (b) Determine the cntical value, Xo, and the rejection region. X =(Round to three decimal places as needed.) Choose the correct rejection region below. O B. X>x OD. X<x O A. X sXo OC. (c) Calculate the test statistic. X = (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 Họ. At the 5% significance level, there V enough evidence to conclude that the distribution of motivations V the old survey.
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