Old Survey % New Survey Frequency, fe 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 Rewards Low rates Cash back Discounts Other 28% 111 24% 98 22% 108 7% 47 19% 61 a. State Ho and Ha and identify the claim. What is the null hypothesis, Ho? O A. The distribution of motivations differs from the old survey. O B. The distribution of motivations 28% rewards, 24% low rate, 22% cash back, 7% discounts, and 19% other. OC. The distribution of motivations is 111 rewards, 98 low rate, 108 cash back, 47 discounts, and 61 other. What is the alternate hypothesis, H,? O A. The distribution of motivations is 111 rewards, 98 low rate, 108 cash back, 47 discounts, and 61 other. O B. The distribution of motivations is 28% rewards, 24% low rate, 22% cash back, 7% discounts, and 19% other. OC. The distribution of motivations differs from the old survey. Which hypothesis is the claim? O Họ O Ha (b) Determine the critical value, Xo, and the rejection region.

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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).
Response
Old Survey %
New Survey Frequency, f
Rewards
Low rates
28%
111
24%
98
Cash back
Discounts
Other
22%
108
7%
47
19%
61
Which hypothesis is the claim?
Н
Ha
2
(b) Determine the critical value, Xo, and the rejection region.
Xo
(Round to three decimal places as needed.)
%3D
Choose the correct rejection region below.
2
O A. X >Xo
O B. X 2X0
2
2
O C. X <Xo
O D. Xs
(c) Calculate the test statistic.
(Round to three decimal places as needed.)
%3D
(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 2.5% significance level, there
enough evidence to conclude that the distribution of motivations
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 = 0.025. Complete parts (a) through (d). Response Old Survey % New Survey Frequency, f Rewards Low rates 28% 111 24% 98 Cash back Discounts Other 22% 108 7% 47 19% 61 Which hypothesis is the claim? Н Ha 2 (b) Determine the critical value, Xo, and the rejection region. Xo (Round to three decimal places as needed.) %3D Choose the correct rejection region below. 2 O A. X >Xo O B. X 2X0 2 2 O C. X <Xo O D. Xs (c) Calculate the test statistic. (Round to three decimal places as needed.) %3D (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 2.5% significance level, there enough evidence to conclude that the distribution of motivations the 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 oa = 0.025. Complete parts (a) through (d).
Response
Old Survey %
New Survey Frequency, f
Rewards
Low rates
Cash back
Discounts
Other
28%
111
24%
98
22%
108
7%
47
19%
61
a. State Ho and H, and identify the claim.
What is the null hypothesis, Ho ?
A. The distribution of motivations differs from the old survey.
B. The distribution of motivations is 28% rewards, 24% low rate, 22% cash back, 7% discounts, and 19% other.
C. The distribution of motivations is 111 rewards, 98 low rate, 108 cash back, 47 discounts, and 61 other.
What is the alternate hypothesis, Ha?
A. The distribution of motivations is 111 rewards, 98 low rate, 108 cash back, 47 discounts, and 61 other.
B. The distribution of motivations is 28% rewards, 24% low rate, 22% cash back, 7% discounts, and 19% other.
C. The distribution of motivations differs from the old survey.
Which hypothesis is the claim?
Ho
Ha
2
(b) Determine the critical value, Xo, and the rejection region.
2
(Round to three decimal places as needed.)
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 oa = 0.025. Complete parts (a) through (d). Response Old Survey % New Survey Frequency, f Rewards Low rates Cash back Discounts Other 28% 111 24% 98 22% 108 7% 47 19% 61 a. State Ho and H, and identify the claim. What is the null hypothesis, Ho ? A. The distribution of motivations differs from the old survey. B. The distribution of motivations is 28% rewards, 24% low rate, 22% cash back, 7% discounts, and 19% other. C. The distribution of motivations is 111 rewards, 98 low rate, 108 cash back, 47 discounts, and 61 other. What is the alternate hypothesis, Ha? A. The distribution of motivations is 111 rewards, 98 low rate, 108 cash back, 47 discounts, and 61 other. B. The distribution of motivations is 28% rewards, 24% low rate, 22% cash back, 7% discounts, and 19% other. C. The distribution of motivations differs from the old survey. Which hypothesis is the claim? Ho Ha 2 (b) Determine the critical value, Xo, and the rejection region. 2 (Round to three decimal places as needed.)
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