When constructing confidence interval for a parameter, we generally set the confidence level $1 - \alpha$ close to 1 (usually between 0.90 and 0.99) because we would like to be reasonably confident that the interval includes the actual value of the population parameter.

Question

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This is correct. We set a high confidence level to ensure that we are reasonably confident that the interval includes the true population parameter value.

When Constructing Confidence Interval for a Parameter, We Generally Set 1−α1 - \alpha1−α

When Constructing Confidence Interval for a Parameter, We Generally Set $1 - \alpha$