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The z-test is a statistical test for hypothesis testing that uses the standard normal distribution as the sampling distribution of the test statistic. A common example is the test for the difference of two proportions.

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Likelihood Ratio Test and Wald test provide different conclusion for glm in R

The main problem is that if you're going to use the ratio as your response variable, you should be using the weights argument. You must have ignored a warning about "non-integer #successes in a binom …
Ben Bolker's user avatar
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