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The research question is:
I want to check the relation of the fixed effects to the dependent variable, taking into account the fact that the design is clustered.
This is answered by the fixed effects estimates.
How do I make interpretation of the random effect
Generally there is no requirement to interpret the random effects - you are controlling for ...
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I strongly suspect that this particular part of the table, explicitly based on a multi-predictor logistic regression model stratified by sex, has an error in the p-value entry. The odds ratios are presented with respect to a reference category for each of the predictors, so that the p-values should represent the p-value corresponding to a null hypothesis of ...
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I assume the software you are using transforms them into Fisher's $z$ (the inverse hyperbolic arctangent).
What you suggest is a plausible way forward but note that the value of $z$ is quite sensitive to small changes near unity. For r=0.99 it gives 2.65, for r=0.999 it gives 3.80,
and for r=0.9999 it gives 4.95. It might be a good idea to use several values ...
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Normally data from such Likert scales are interpreted as holding ordinal but not interval scaled information, and the linearity assumption in standard linear regression will be problematic for sure with a response variable that only has 3 output values (it may be OK with Likert explanatory variables but then it may not, depending on the data).
There's ...
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