A type of new car is offered for sale with 4 option packages. A customer can buy any number of these, from none to all 4. A manager proposes the null hypothesis that customers pick packages at random, implying the number of packages bought by a customer should be binomial with n=4. This table shows the number of packages chosen by 400 customers. (a) Find the binomial parameter p needed to calculate the expected counts. (b) Find the estimated probability that a customer picks one option. (c) Find the degrees of freedom for Packages 1 2

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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K
A type of new car is offered for sale with 4 option packages. A customer can buy any number of these, from none to all 4. A manager proposes
the null hypothesis that customers pick packages at random, implying the number of packages bought by a customer should be binomial with
n=4. This table shows the number of packages chosen by 400 customers.
(a) Find the binomial parameter p needed to calculate the expected counts.
(b) Find the estimated probability that a customer picks one option.
(c) Find the degrees of freedom for ²
(d) Find the value of x² for testing Ho
(e) Find the p-value for testing Ho-
D
Packages
0
1
2
3
4
Customers
21
96
146
104
33
Transcribed Image Text:K A type of new car is offered for sale with 4 option packages. A customer can buy any number of these, from none to all 4. A manager proposes the null hypothesis that customers pick packages at random, implying the number of packages bought by a customer should be binomial with n=4. This table shows the number of packages chosen by 400 customers. (a) Find the binomial parameter p needed to calculate the expected counts. (b) Find the estimated probability that a customer picks one option. (c) Find the degrees of freedom for ² (d) Find the value of x² for testing Ho (e) Find the p-value for testing Ho- D Packages 0 1 2 3 4 Customers 21 96 146 104 33
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