Please calculate the test statistic

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Please calculate the test statistic
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
α = 0.05. Complete parts (a) through (d).
OC. The distribution of motivations is 112 rewards, 98 low rate, 108 cash back, 48 discounts, and 59 other.
What is the alternate hypothesis, H₂?
OA. The distribution of motivations is 112 rewards, 98 low rate, 108 cash back, 48 discounts, and 59 other.
OB. The distribution of motivations is 29% rewards, 23% low rate, 22% cash back, 7% discounts, and 19% other.
c. The distribution of motivations differs from the old survey.
Which hypothesis is the claim?
Ho
Ha
(b) Determine the critical value, Xo, and the rejection region.
Xo9.488 (Round to three decimal places as needed.)
Choose the correct rejection region below.
A. X²SX
c. x² > x
(c) Calculate the test statistic.
x² = 1
(Round to three decimal places as needed.)
O.B. X²<
D. X² zxo
O D.
Response
Rewards
Low rates
Cash back
Discounts
Other
Old Survey %
29%
23%
22%
7%
19%
New Survey
Frequency, f
112
98
108
48
59
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 α = 0.05. Complete parts (a) through (d). OC. The distribution of motivations is 112 rewards, 98 low rate, 108 cash back, 48 discounts, and 59 other. What is the alternate hypothesis, H₂? OA. The distribution of motivations is 112 rewards, 98 low rate, 108 cash back, 48 discounts, and 59 other. OB. The distribution of motivations is 29% rewards, 23% low rate, 22% cash back, 7% discounts, and 19% other. c. The distribution of motivations differs from the old survey. Which hypothesis is the claim? Ho Ha (b) Determine the critical value, Xo, and the rejection region. Xo9.488 (Round to three decimal places as needed.) Choose the correct rejection region below. A. X²SX c. x² > x (c) Calculate the test statistic. x² = 1 (Round to three decimal places as needed.) O.B. X²< D. X² zxo O D. Response Rewards Low rates Cash back Discounts Other Old Survey % 29% 23% 22% 7% 19% New Survey Frequency, f 112 98 108 48 59
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