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.

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.

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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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

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

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