Question: In the nursing home study mentioned in the chapter-opening Statistics Today, the researchers found that 12 out of 34 randomly selected small nursing homes had

In the nursing home study mentioned in the chapter-opening Statistics Today, the researchers found that 12 out of 34 randomly selected small nursing homes had a resident vaccination rate of less than $80 \%$, while 17 out of 24 randomly selected large nursing homes had a vaccination rate of less than $80 \%$. At $\alpha=0.05$, test the claim that there is no difference in the proportions of the small and large nursing homes with a resident vaccination rate of less than $80 \%$.

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