They never say when they give these charts and this data if they are compareing a million vaxed against a million unvaxxed. Which is the only fair way to do things. Probably more than 90% of Australia has been vaxed, so if they just take the total number of people hospitalized, it would be highly misleading. They have to take an equal number of vaxed and unvaxed, and determine what percentage of each was hospitalized with Covid. I'm not saying this study failed to do this, I'm saying they didn't say whether they did this.
The figures are population based, which makes them somewhat misleading. But as of the beginning of July only about 10% of the NSW population had 4 jabs, whereas 16% are no jab. Sauce: https://www.covid19data.com.au/vaccination-status
So, if the numbers are accurate, it's actually worse. The numbers don't agree with what they say at all.
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