A sample of two variables of size 40 produces a correlation coefficient of r = 0.682....
A sample of two variables of size 40 produces a correlation coefficient of r = 0.682.
What is the point estimate for the population correlation coefficient, ??
Construct a 95% confidence interval for ?.
Homework Answers
The following needs to be tested:
H0?:?=0 and HA?:??0
where ? corresponds to the population correlation.
The sample size is n = 40, so then the number of degrees of freedom is df = n-2 =40?2=38
The corresponding critical correlation value rcfor a significance level of ?=0.05, for a two-tailed test is:
rc?=0.312
Observe that in this case, the null hypothesis H0?:?=0 is rejected if |r| > rc?=0.312.
Based on the sample correlation provided, we have that |r| = 0.682 > rc?=0.312, from which is concluded that the null hypothesis is rejected.
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A sample of two variables of size 40 produces a correlation
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