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The heights of 40 randomly selected people and those of their mothers are recorded. STATDISK is used to calculate a linear correlation and regression analysis. The results obtained are given below:
Sample size, n: 40
Degrees of freedom: 38
Results:
Correlation coefficient, r: 0.6033907
Critical r: ± 0.3120061
P value: 0.00004
The null hypothesis is rejected
Based on the hypothesis test, what can be concluded?
There is insufficient evidence to conclude that there is a linear relationship between the height of a person and the height of their mother.
There is sufficient evidence to conclude that there is a linear relationship between the height of a person and the height of their mother.
There is sufficient evidence to conclude that the population dispersion graph would follow a horizontal line
The hypothesis test indicates that we must use the heights of the father instead of the heights of the mother.
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