The PopulationSummaryResults class should to default to self.alpha when the alpha parameter is not passed. This is not the case currently since some methods use the statement 'alpha = self.alpha if alpha is None else alpha', however alpha's default value in the methods is .1, thus self.alpha will be ignored even if the client does not pass the alpha parameter.

Without the fix ate_interval(), marginal_ate_interval() and const_marginal_ate_interval() all ignore the alpha parameter.

Removing whitespace to fix linting