Answered: Does buying CDs depend on whether you…

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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Does buying CDs depend on whether you own a smartphone or not? A survey asks a group of students if they buy CDs or not. It also asks if the students own a smartphone or not. The data are recorded in the contingency table below, and a chi-square Test of Independence at the 5% significance level is performed.

SmartphoneNo SmartphoneColumn TotalCDs12.269.81622No CDs17.82414.2832Row Total302454

(a) The null and alternative hypotheses are:

H0: The two variables are independent, so owning a smartphone does not affect buying CDs.
Ha: The two variables are dependent, so owning a smartphone does affect buying CDs.

(b) χ20=11.9

df1234χ20.102.7064.6056.2517.779χ20.053.8415.9917.8159.488χ20.0255.0247.3789.34811.143χ20.016.6359.21011.34513.277χ20.0057.87910.59712.83814.860

Does buying CDs depend on whether you own a smartphone or not? A survey asks a group of students if they buy CDs or
not. It also asks if the students own a smartphone or not. The data are recorded in the contingency table below, and a chi-
square Test of Independence at the 5% significance level is performed.
CDs No CDs Row Total
24
17.8
6
12.2
30
Smartphone
16
8
24
No Smartphone
14.2
9.8
Column Total
22
32
54
(a) The null and alternative hypotheses are:
Ho: The two variables are independent, so owning a smartphone does not affect buying CDs.
Ha The two variables are dependent, so owning a smartphone does affect buying CDs.
(b) x3
11.9
(c) Determine the critical value using the following portion of the 2-table
(c) Determine the critical value using the following portion of the x2-table.
df .10 X.05 X.025 X0.01 X.005
1 2.706 3.841
5.024
6.635
7.879
7.378
2
4.605 5.991
9.210 10.597
6.251 7.815 9.348 11.345 12.838
3
7.779 9.488 11.143 13.277 14.860
4
Provide your answer below
Critical value

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