Question

12.4 PS The following variables were collected for a sample of ten precincts during the last national election. Compute $r$ and $r^2$ for each combination of variables and write a paragraph interpreting the rela- tionship between these variables. Take voter turnout as the dependent variable. Percentage Percentage Precinct Democrat Minority Percentage Voter Turnout A 33 9 36 B 78 15 60 C 62 18 64 D 50 10 56 E 45 12 55 F 56 8 52 G 85 20 25 H 25 0 42 I 13 5 89 J 33 9 88 

          12.4 PS The following variables were collected for
a sample of ten precincts during the last national
election. Compute $r$ and $r^2$ for each combination of
variables and write a paragraph interpreting the rela-
tionship between these variables. Take voter turnout
as the dependent variable.
Percentage
Percentage
Precinct Democrat
Minority
Percentage
Voter Turnout
A
33
9
36
B
78
15
60
C
62
18
64
D
50
10
56
E
45
12
55
F
56
8
52
G
85
20
25
H
25
0
42
I
13
5
89
J
33
9
88
Show more…
12.4 PS The following variables were collected for a sample of ten precincts during the last national election. Compute r and r^2 for each combination of variables and write a paragraph interpreting the rela- tionship between these variables. Take voter turnout as the dependent variable. Percentage Percentage Precinct Democrat Minority Percentage Voter Turnout A 33 9 36 B 78 15 60 C 62 18 64 D 50 10 56 E 45 12 55 F 56 8 52 G 85 20 25 H 25 0 42 I 13 5 89 J 33 9 88

Added by Carmen S.

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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IS MY PEARSON R STATISTICALLY SIGNIFICANT AT ALPHA 0.05? 12.4 PS The following variables were collected for a sample of ten precincts during the last national election. Compute r and r2 for each combination of variables and write a paragraph interpreting the rela- tionship between these variables. Take voter turnout as the dependent variable. Percentage Democrat Percentage Minority 9 15 18 10 12 8 20 0 5 9 Percentage Voter Turnout Precinct A B c D E F G H : J 33 78 62 50 45 56 85 25 13 33 36 60 64 56 55 52 25 42 89 88
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Transcript

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00:01 Hi in the given statement we're given here sample correlation coming out to be r is negative 0 .2 0 .30 0 .30 vee have n is 52 sample size is 52 and it's for a two tail test right for a two tail test so we can go for in this case degree of freedom is coming out to be n negative 2 that equals to 50 so we go for t value in this case the value the formula is coming up to be r square root n negative 2 or we have one negative r squared r square r is negative 0 .3 we put that n is to 2 to 2 to 4 we go for this we get the value of t is negative 2 .2 to 4 negative 2 .2 2 to 4 at the value of t which we are getting here now accordingly for this t value the p value is coming out to be 0 .0307 p value 0 .03 07 right so if we compare with the alpha so first we take let's say alpha we take 0 .01 now at alpha equal to 0 .01 we have p is greater than is alpha so p is greater than alpha so we fail to reject maliposis right so we fail to reject malipolisis in that way it is not significant in that way it is not significant.
01:49 Next part is if we take alpha as 0 .05, in that case we have p is less than alpha, right? p is less than alpha.
01:59 So in that case, we reject malaposis.
02:03 We reject malaposis and it's coming up to be significant.
02:09 It is coming up to be significant.
02:11 So we have option a...
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