A survey was conducted two years ago asking college students their top motivations for using a credit card. To determine whether 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 peen a change in the claimed or expected distribution? Use a=0.05. Complete parts (a) through (d). New Survey Frequency, I 112 Response Old Survey % Rewards Low rates Cash back Discounts Other 28% 23% 97 22% 7% 109 48 20% 59 JA. XXO OD. X sxo 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.

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A survey was conducted two years ago asking college students their top motivations for using a credit
card. To determine whether 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 claimed or expected distribution? Use a=0.05. Complete parts (a) through (d).
New Survey
Response
Old Survey %
Frequency, f
112
28%
23%
22%
Rewards
Low rates
Cash back
Discounts
Other
97
109
7%
48
20%
59
OA. X
UD. X
2.
2
O C. X>Xo
2
O D. X <Xo
(c) Calculate the test statistic.
2.
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 At the 5% significance level, there
enough evidence to conclude that the distribution of motivations
the claimed or
expected distribution.
Transcribed Image Text:A survey was conducted two years ago asking college students their top motivations for using a credit card. To determine whether 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 claimed or expected distribution? Use a=0.05. Complete parts (a) through (d). New Survey Response Old Survey % Frequency, f 112 28% 23% 22% Rewards Low rates Cash back Discounts Other 97 109 7% 48 20% 59 OA. X UD. X 2. 2 O C. X>Xo 2 O D. X <Xo (c) Calculate the test statistic. 2. 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 At the 5% significance level, there enough evidence to conclude that the distribution of motivations the claimed or expected distribution.
se
A survey was conducted two years ago asking college students their top motivations for using a credit
card. To determine whether 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 claimed or expected distribution? Use a= 0.05. Complete parts (a) through (d).
New Survey
Frequency, f
112
97
Response
Old Survey %
28%
23%
22%
Rewards
Low rates
Cash back
Discounts
Other
109
7%
48
20%
59
Which hypothesis is the claim?
o Ho
O Ha
2
(b) Determine the critical value, Yo and the rejection region.
Xo= (Round to three decimal places as needed.)
Choose the correct reiection region below
Transcribed Image Text:se A survey was conducted two years ago asking college students their top motivations for using a credit card. To determine whether 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 claimed or expected distribution? Use a= 0.05. Complete parts (a) through (d). New Survey Frequency, f 112 97 Response Old Survey % 28% 23% 22% Rewards Low rates Cash back Discounts Other 109 7% 48 20% 59 Which hypothesis is the claim? o Ho O Ha 2 (b) Determine the critical value, Yo and the rejection region. Xo= (Round to three decimal places as needed.) Choose the correct reiection region below
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