تم الحل ✓
categoryإحصاء
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
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).
a. State Ho and H, and identify the claim.
What is the null hypothesis, Ho?
Response
Old
New Survey
Frequency, f
112
Survey %
Rewards
27%
Low rates
23%
96
Cash back
Discounts
21%
109
9%
48
Other 20%
60
OA. The distribution of motivations is 27% rewards, 23% low rate, 21% cash back, 9% discounts, and 20% other.
OB. The distribution of motivations differs from the expected distribution.
OC. The distribution of motivations is 112 rewards, 96 low rate, 109 cash back, 48discounts, and 60 other.
What is the alternate hypothesis, H₂?
OA. The distribution of motivations is the same as the claimed or expected distribution.
OB. The distribution of motivations is 27% rewards, 23% low rate, 21% cash back, 9% discounts, and 20% other.
OC. The distribution of motivations differs from the claimed or expected distribution.
Which hypothesis is the claim?
O Ho
он
(b) Determine the critical value, X. and the rejection region.
=
Xo (Round to three decimal places as needed.)
Choose the correct rejection region below.
OA. XX
Oc. x² <x
(c) Calculate the test statistic.
x-(Round to three decimal places as needed.)
OB. XX
OD. X²X²
(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 10% significance level, there
enough evidence to conclude that the distribution of
motivations
the claimed or expected distribution.
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