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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. 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

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

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 4SE: What is the difference between events and outcomes? Give an example of both using the sample space...
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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

 

(c)  Determine the critical value using the following portion of the χ2-table.

 

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
Transcribed Image Text: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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