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 Smartphone 62430No Smartphone 16824Column Total 223254(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) Compute the test statistic, rounded to one decimal place. (Use expected frequencies that are also rounded to one decimal place.)Provide your answer below:Test Statistic =

(a)The null and alternative hypotheses are:H0: The two variables are independent, so owning a…

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Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 6CST

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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
Smartphone	6	24	30
No Smartphone	16	8	24
Column Total	22	32	54

(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) Compute the test statistic, rounded to one decimal place. (Use expected frequencies that are also rounded to one decimal place.)

Provide your answer below:

Test Statistic =

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