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). Response Old Survey % 28% New Survey Frequency, f Rewards Low rates Cash back Discounts Other 112 24% 98 22% 107 7% 19% 48 60 Which hypothesis is the claim? O H. O H, (b) Determine the critical value, Yo. and the rejection region. Y-(Round to three decimal places as needed.) Choose the correct rejection region below. OB. x OD. X sx (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 Ho. Al the 2.5% significance level, there Venough evidence to conclude that the distribution of motivations Vthe old survey
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). Response Old Survey % 28% New Survey Frequency, f Rewards Low rates Cash back Discounts Other 112 24% 98 22% 107 7% 19% 48 60 Which hypothesis is the claim? O H. O H, (b) Determine the critical value, Yo. and the rejection region. Y-(Round to three decimal places as needed.) Choose the correct rejection region below. OB. x OD. X sx (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 Ho. Al the 2.5% significance level, there Venough evidence to conclude that the distribution of motivations Vthe old survey
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Question

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 %
28%
Response
New Survey Frequency, f O
Rewards
Low rates
Cash back
Discounts
Other
112
24%
98
22%
107
7%
48
19%
60
Which hypothesis is the claim?
O Ho
O H.
(b) Determine the critical value, Xo. and the rejection region.
Xo=(Round to three decimal places as needed.)
Choose the correct rejection region below.
O A. Y2Y.
OB. X<x
Oc. x>x
OD. X sx.
(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 2.5% significance level, there
Venough evidence to conclude that the distribution of motivations
V the old sunvey.

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).
Response
Old Survey %
28%
New Survey Frequency, f e
Rewards
Low rates
Cash back
Discounts
Other
112
24%
98
22%
107
7%
48
19%
60
a. State Ho and H, and identify the claim.
What is the null hypothesis, Ho?
O A. The distribution of motivations is 28% rewards, 24% low rate, 22% cash back, 7% discounts, and 19% other.
O B. The distribution of motivations is 112 rewards, 98 low rate, 107 cash back, 48 discounts, and 60 other.
O C. The distribution of motivations differs from the old survey.
What is the alternate hypothesis, H?
O A. The distribution of motivations is 28% rewards, 24% low rate, 22% cash back, 7% discounts, and 19% other.
O B. The distribution of motivations differs from the old survey
OC. The distribution of motivations is 112 rewards, 98 low rate, 107 cash back, 48 discounts, and 60 other.
Which hypothesis is the claim?
Ho
O H,
(b) Determine the critical value, Xo. and the rejection region.
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