3. At a major credit card bank, the percentages of people who historically apply for the Silver, Gold, and Platinum cards are 60%, 30%, and 10% respectively. In a recent sample of customers responding to a promotion, of 200 customers, 110 applied for Silver, 55 for Gold, and 35 for Platinum. Is there evidence to suggest that the percentages for this promotion may be different from historical proportions? a) What is the expected number of customers applying for each type of card in this sample if the historical proportions are still true? b) Compute the x-squared statistic.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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3. At a major credit card bank, the percentages of people who historically apply for the Silver,
Gold, and Platinum cards are 60%, 30%, and 10% respectively. In a recent sample of customers
responding to a promotion, of 200 customers, 110 applied for Silver, 55 for Gold, and 35 for
Platinum. Is there evidence to suggest that the percentages for this promotion may be different
from historical proportions?
a) What is the expected number of customers applying for each type of card in this sample
if the historical proportions are still true?
b) Compute the x- squared statistic.
Transcribed Image Text:3. At a major credit card bank, the percentages of people who historically apply for the Silver, Gold, and Platinum cards are 60%, 30%, and 10% respectively. In a recent sample of customers responding to a promotion, of 200 customers, 110 applied for Silver, 55 for Gold, and 35 for Platinum. Is there evidence to suggest that the percentages for this promotion may be different from historical proportions? a) What is the expected number of customers applying for each type of card in this sample if the historical proportions are still true? b) Compute the x- squared statistic.
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