Slope coefficient of beta is classified statistically significant if its probability is

greater than 5%
equal to 5%
less than 5%
less than 2%

The correct answer is C. less than 5%.

A statistically significant result is one that is unlikely to have occurred by chance. In statistics, the p-value is a measure of the probability of obtaining a result at least as extreme as the one observed, given that the null hypothesis is true. A p-value of less than 0.05 is generally considered to be statistically significant. This means that there is a less than 5% chance that the observed result could have occurred by chance, if the null hypothesis were true.

In the context of the question, the slope coefficient of beta is a measure of the relationship between two variables. If the p-value for the slope coefficient is less than 0.05, then we can conclude that there is a statistically significant relationship between the two variables.

Option A is incorrect because a p-value of greater than 5% indicates that the observed result is not statistically significant.

Option B is incorrect because a p-value of equal to 5% is not statistically significant.

Option D is incorrect because a p-value of less than 2% is more statistically significant than a p-value of less than 5%.

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