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Answer:
A
Step-by-step explanation:
- (x + 3) > x - 3 ( multiply both sides by 2 to clear the fraction )
- (x + 3) > 2x - 6 ← distribute parenthesis on left side by - 1
- x - 3 > 2x - 6 ( subtract 2x from both sides )
- 3x - 3 > - 6 ( add 3 to both sides )
- 3x > - 3
divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity
x < 1
The decision rule is reject H(0) if t>1.714, test statistic t is 7.157 and Yes, we can conclude that the correlation in the population is greater than zero.
In the given question,
A study of 20 worldwide financial institutions showed the correlation between their assets and pretax profit to be 0.86.
n=20, r = 0.86
The decision rule for α=0.05 significance level:
H(0): P ≤ 0
H(1): P > 0
Degree of freedom(df) = n-2
Degree of freedom(df) = 20-2
Degree of freedom(df) = 18
This is the right tailed test using the t table.
Critical Value: , df =
= 1.714
(a) The decision rule is reject H(0) if t>1.714.
(b) Test statistic is t
t= r√(n−2)/√(1–r^2)
t= 0.86*√(20 -2)/√(1-(0.86)^2)
t= 0.86*√18/√(1-0.7396)
t= 0.86*4.243/√0.2604
t= 3.65/0.51
t= 7.157
Test statistic = 7.157
(c) We have to conclude that the correlation in the population is greater than zero.
Yes, we can conclude that the correlation in the population is greater than zero.
To learn more about test statistic z link is here
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