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In: Math

A type of new car is offered for sale with 4 option packages. A customer can...

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 equals=4.
This table shows the number of packages chosen by 400 customers.

Packages Customers
0 30
1 104
2 147
3 107
4 12

​(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 chiχsquared2.

(d) Find the value of chiχsquared2 for testing Upper H0

​(e) Find the​ p-value for testing Upper H0


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