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In a hypothesis test of a correlation coefficient, the null hypothesis posits that there is absolutely no relationship between the variables in the overall population. This parameter is mathematically represented using the Greek letter rho ($$ho$$), where the null hypothesis is precisely $$ho = 0$$.

Null Hypothesis for a Correlation Test

The alternative hypothesis in a test of a correlation coefficient states that a true relationship does exist between the variables within the target population. It is mathematically expressed as $$ho 
eq 0$$, representing any non-zero population correlation.

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