Correlation analysis is meant to determine the strength of a linear
relationship between variables.
The complete question is as below:-
Which of the following statements is true of the correlation analysis? The null hypothesis for the Pearson correlation coefficient states that there is always a strong association between two variables. The larger the correlation coefficient, the weaker the association between two variables. The null hypothesis for the Pearson correlation coefficient states that the correlation coefficient is zero. The Pearson correlation coefficient measures the degree of linear association that ranges from 1.0 to 10.0. The Pearson correlation coefficient measures the degree of linear association between three variables.
Correlation analysis is a test to determine the presence and or amount of relationship that exists between variables.
During a hypothesis test aimed at determining the existence of a correlation between variables, the null and alternative hypotheses are as follows;
The null hypothesis, H₀: There are no relationships between the variables
H₀: r = 0
The alternative hypothesis, Hₐ: The variables have an association
Hₐ: r ≠ 0
Therefore, the true statement of the correlation analysis is; The null hypothesis for the Pearson correlation coefficient states that the correlation coefficient is zero.
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