Answered: Bank cards At a major credit card bank,…

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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Question

Bank cards 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 the
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 x2
statistic.

c) How many degrees of freedom does the x2
statistic

have?
d) Find the a = 0.05 critical value for the x2

distribution

with the appropriate number of df.
e) Using the critical value, what do you conclude about
the null hypothesis at a = 0.05?

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