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 7% 29% 24% Now Surve Frequency, f 110 97 Rewards Low rates Cash back Discounts Other 21% 108 7% 47 19% 63 O H. (b) Determine the critical value, Yo, and the rejection region. Xo = (Round three decimal places as needed.) Choose the correct rejection region below. O A. X>X OD. Xsx Oc. Xx (c) Calculate the test statistic. X = (Round to three decimal places as needed.) (d) Decide whether reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim. V the old survey. Ho. At the 5% significance level, there V enough evidence to conclude that the distribution of motivations
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 7% 29% 24% Now Surve Frequency, f 110 97 Rewards Low rates Cash back Discounts Other 21% 108 7% 47 19% 63 O H. (b) Determine the critical value, Yo, and the rejection region. Xo = (Round three decimal places as needed.) Choose the correct rejection region below. O A. X>X OD. Xsx Oc. Xx (c) Calculate the test statistic. X = (Round to three decimal places as needed.) (d) Decide whether reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim. V the old survey. Ho. At the 5% significance level, there V enough evidence to conclude that the distribution of motivations
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 %
New Survey Frequency, f e
Rewards
Low rates
Cash back
Discounts
Other
%67
24%
26
80
47
63
%61
a. State Ho and Hg and identify the claim.
What is the null hypothesis, Ho?
O A. The distribution of motivations is 29% rewards, 24% low rate, 21% cash back, 7% discounts, and 19% other.
O B. The distribution of motivations is 110 rewards, 97 low rate, 108 cash back, 47 discounts, and 63 other.
O C. The distribution of motivations differs from the old survey.
What is the alternate hypothesis, Ha?
O A. The distribution of motivations differs from the old survey.
O B. The distribution of motivations is 110 rewards, 97 low rate, 108 cash back, 47 discounts, and 63 other.
O C. The distribution of motivations is 29% rewards, 24% low rate, 21% cash back, 7% discounts, and 19% other.
Which hypothesis is the claim?
Transcribed Image Text:Old Survey %
Now 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 = 0.05. Complete parts (a) through (d).
Response
Rewards
Low rates
29%
24%
110
97
Cash back
21%
108
47
Discounts
Other
7%
19%
63
O H.
(b) Determine the critical value, Xo, and the rejection region.
Xp = (Round to three decimal places as needed.)
Choose the correct rejection region below.
OB.
O A. X >X
OD. X sx,
Oc. X2X0
(c) Calculate the test statistic.
Y = (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 the old survey.
Ho. At the 5% significance level, there
V enough evidence to conclude that the distribution of motivations
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