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:
(b) χ20=11.9
(c) χ20.05=3.841
(d) What conclusions can be made? Select all that
apply.
Select all that apply:
We should reject H0.
We should not reject H0.
At the 5% significance level, there is not sufficient evidence to conclude that owning a smartphone affects buying CDs.
At the 5% significance level, there is sufficient evidence to conclude that owning a smartphone affects buying CDs.
FEEDBACK
Given:
The null and alternative hypotheses are:
(b) χ20 = 11.9
(c) χ20.05 = 3.841
d) The test statistics of χ2 is greater than the critical value 3.841.
So,
We should reject H0. At the 5% significance level, there is sufficient evidence to conclude that owning a smartphone affects buying CDs.
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