Old Survey % 27% 24% 21% 7% 21% 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=0.10. Complete parts (a) through (d). New Survey Frequency, f 110 98 Response Rewards Low rates Cash back Discounts Other 107 46 64 a. State Ho and H, and identify the claim. What is the null hypothesis, H? O A. The distribution of motivations differs from the expected distribution. O B. The distribution of motivations is 27% rewards, 24% low rate, 21% cash back, 7% discounts, and 21% other. OC. The distribution of motivations is 110 rewards, 98 low rate, 107 cash back, 46discounts, and 64 other. What is the alternate hypothesis, H,? O A. The distribution of motivations differs from the claimed or expected distribution OB. The distribution of motivations is 27% rewards. 24% low rate, 21% cash back, 7% discounts, and 21% other. OC. The distribution of motivations is the same as the claimed or expected distribution. Which hypothesis is the claim? O Ho O H. (b) Determine the critical value. Xo. and the rejection region. (Round to three decimal places as needed.) _ Choose the corect rejection region below. OB. xx OD. X>x OA. X

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3. 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 = 0.10. Complete parts (a)
through (d).
Response
Old Survey %
27%
New Survey Frequency, f
Rewards
Low rates
Cash back
Discounts
Other
110
24%
98
21%
107
7%
46
21%
64
a. State H, and H, and identify the claim.
What is the null hypothesis, Ho?
O A. The distribution of motivations differs from the expected distribution.
O B. The distribution of motivations is 27% rewards, 24% low rate, 21% cash back, 7% discounts, and 21% other.
O C. The distribution of motivations is 110 rewards, 98 low rate, 107 cash back, 46discounts, and 64 other.
What is the alternate hypothesis, H,?
O A. The distribution of motivations differs from the claimed or expected distribution.
O B. The distribution of motivations is 27% rewards, 24% low rate, 21% cash back, 7% discounts, and 21% other.
O C. The distribution of motivations is the same as the claimed or expected distribution
Which hypothesis is the claim?
O Ho
O Ha
(b) Determine the critical value, X. and the rejection region.
(Round to three decimal places as needed.)
Choose the correct rejection region below.
O B. X2x
O D. X>x
O A. X <x6
(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.
(1)
Ho. At the 10% significance level, there (2)
enough evidence to conclude that the distribution of motivations (3)
the claimed or expected distribution.
(1) O Reject
(2) O is
O is not
(3) O is the same as
O Fail to reject
O differs from
Transcribed Image Text:3. 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 = 0.10. Complete parts (a) through (d). Response Old Survey % 27% New Survey Frequency, f Rewards Low rates Cash back Discounts Other 110 24% 98 21% 107 7% 46 21% 64 a. State H, and H, and identify the claim. What is the null hypothesis, Ho? O A. The distribution of motivations differs from the expected distribution. O B. The distribution of motivations is 27% rewards, 24% low rate, 21% cash back, 7% discounts, and 21% other. O C. The distribution of motivations is 110 rewards, 98 low rate, 107 cash back, 46discounts, and 64 other. What is the alternate hypothesis, H,? O A. The distribution of motivations differs from the claimed or expected distribution. O B. The distribution of motivations is 27% rewards, 24% low rate, 21% cash back, 7% discounts, and 21% other. O C. The distribution of motivations is the same as the claimed or expected distribution Which hypothesis is the claim? O Ho O Ha (b) Determine the critical value, X. and the rejection region. (Round to three decimal places as needed.) Choose the correct rejection region below. O B. X2x O D. X>x O A. X <x6 (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. (1) Ho. At the 10% significance level, there (2) enough evidence to conclude that the distribution of motivations (3) the claimed or expected distribution. (1) O Reject (2) O is O is not (3) O is the same as O Fail to reject O differs from
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