A survey was conducted two years ago asking college students their top motivations for using a credit card. You think this distribubon has changed. You randomly select 425 college students and asK ach 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 % 27% New Survey Frequency. 110 Rewards Vhat is the null hypothesis, Ho? OA. The distribution of motivations is 110 rewards, 97 low rate, 107 cash back, 46 discounts, and 65 other. OB. The distribution of motivations is 27% rewards, 24% low rate, 21% cash back, 8% discounts, and 20% other. OC. The distribution of motivations differs from the old survey. Please copy and paste data from text area below. Selected delimiter: Tab Vhat is the alternate hypothesis, H,? Response Old survey New Survey Frec Rewards 278 110 OA. The distribution of motivations is 110 rewards, 97 low rate, 107 cash back, 46 discounts, and 65 other. Low rates 248 97 OB. The distribution of motivations is 27% rewards, 24% low rate, 21% cash back, 8% discounts, and 20% other. Cash back 21% 107 OC. The distribution of motivations differs from the old survey. Discounts 46 Other 208 65 Vhich hypothesis is the claim? Done b) Determine the critical value, Xo. and the rejection region. (o=(Round to three decimal places as needed.) Choose the correct rejection region below.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

14

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 %
New Survey Frequency, f
Response
Rewards
27%
110
What is the null hypothesis, Ho?
O A. The distribution of motivations is 110 rewards, 97 low rate, 107 cash back, 46 discounts, and 65 other.
O B. The distribution of motivations is 27% rewards, 24% low rate, 21% cash back, 8% discounts, and 20% other.
O C. The distribution of motivations differs from the old survey.
Please copy and paste data from text area below.
Selected delimiter: Tab
Old Survey %
What is the alternate hypothesis, H,?
Response
New Survey
Frec
Rewards
27%
110
O A. The distribution of motivations is 110 rewards, 97 low rate, 107 cash back, 46 discounts, and 65 other.
Low rates
24%
97
O B. The distribution of motivations is 27% rewards, 24% low rate, 21% cash back, 8% discounts, and 20% other.
Cash back
21%
107
OC. The distribution of motivations differs from the old survey.
Discounts
8%
46
other
20%
65
Which hypothesis is the claim?
O Ho
O Ha
Done
2
(b) Determine the critical value, Yo, and the rejection region.
X6 = (Round to three decimal places as needed.)
Choose the correct rejection region below.
O A. X 2X0
O B. X >Xo
Oc. Xsx
O D. X <Xo
(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.
V Ho. At the 2.5% significance level, there
V enough evidence to conclude that the distribution of motivations
V 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). Old Survey % New Survey Frequency, f Response Rewards 27% 110 What is the null hypothesis, Ho? O A. The distribution of motivations is 110 rewards, 97 low rate, 107 cash back, 46 discounts, and 65 other. O B. The distribution of motivations is 27% rewards, 24% low rate, 21% cash back, 8% discounts, and 20% other. O C. The distribution of motivations differs from the old survey. Please copy and paste data from text area below. Selected delimiter: Tab Old Survey % What is the alternate hypothesis, H,? Response New Survey Frec Rewards 27% 110 O A. The distribution of motivations is 110 rewards, 97 low rate, 107 cash back, 46 discounts, and 65 other. Low rates 24% 97 O B. The distribution of motivations is 27% rewards, 24% low rate, 21% cash back, 8% discounts, and 20% other. Cash back 21% 107 OC. The distribution of motivations differs from the old survey. Discounts 8% 46 other 20% 65 Which hypothesis is the claim? O Ho O Ha Done 2 (b) Determine the critical value, Yo, and the rejection region. X6 = (Round to three decimal places as needed.) Choose the correct rejection region below. O A. X 2X0 O B. X >Xo Oc. Xsx O D. X <Xo (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. V Ho. At the 2.5% significance level, there V enough evidence to conclude that the distribution of motivations V the old survey.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman