Question

A random sample of Ohio voters was asked about the number of cars or trucks they own (one, two, or at least three) and the type of community in which they live (rural, suburban, urban). The two-way table follows. Community Type Number of Cars Rural One: 120 Two: 470 Three or More: 335 Suburban One: 230 Two: 620 Three or More: 420 Urban One: 530 Two: 390 Three or More: 85 Total One: 880 Two: 1480 Three or More: 840 If the P-value is less than 0.05, what conclusion should be drawn from this chi-square test? a. There is strong evidence that the number of cars and community type are positively correlated. b. There is strong evidence that the number of cars and community type are dependent. c. There is some evidence that the number of cars and community type are positively correlated. d. There is no evidence that the number of cars and community type are related. 

          A random sample of Ohio voters was asked about the number of cars or trucks they own (one, two, or at least three) and the type of community in which they live (rural, suburban, urban). The two-way table follows.

Community Type   Number of Cars
Rural            One: 120   Two: 470   Three or More: 335
Suburban         One: 230   Two: 620   Three or More: 420
Urban            One: 530   Two: 390   Three or More: 85

Total            One: 880   Two: 1480   Three or More: 840

If the P-value is less than 0.05, what conclusion should be drawn from this chi-square test?
a. There is strong evidence that the number of cars and community type are positively correlated.
b. There is strong evidence that the number of cars and community type are dependent.
c. There is some evidence that the number of cars and community type are positively correlated.
d. There is no evidence that the number of cars and community type are related.
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Added by Yolanda B.

Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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A random sample of Ohio voters was asked about the number of cars or trucks they own (one, two, or at least three) and the type of community in which they live (rural, suburban, urban). The two-way table follows. Community Type Number of Cars Rural One: 120 Two: 470 Three or More: 335 Suburban One: 230 Two: 620 Three or More: 420 Urban One: 530 Two: 390 Three or More: 85 Total One: 880 Two: 1480 Three or More: 840 If the P-value is less than 0.05, what conclusion should be drawn from this chi-square test? a. There is strong evidence that the number of cars and community type are positively correlated. b. There is strong evidence that the number of cars and community type are dependent. c. There is some evidence that the number of cars and community type are positively correlated. d. There is no evidence that the number of cars and community type are related.
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Transcript

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00:01 I have a whole bunch of data given and i actually calculated the kai squared statistic for this.
00:06 And then i see that your question actually doesn't ask you to do that.
00:10 And you have rural, suburban, and an urban area.
00:14 And you have the number of cars that the community has.
00:18 And so this whole cell, i actually put this into my calculator as a matrix and then did the analysis and the kai squared statistic for this, which had four degrees of freedom.
00:29 Actually comes out to be 541 .17, and the p value is extremely small, basically zero.
00:38 But your question says, if the p value is less than 0 .05, what conclusion can you draw? and remember what you're assuming...
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