In a nursing home study, the researchers found that 15 out of 34 randomly selected small nursing homes had a resident vaccination rate of less than 80%, while 17 out of 27 randomly selected large nursing homes had a resident vaccination rate of less than 80%. At a significance level of .05 test the claim that there is a lower proportion of small nursing homes with a resident vaccination rate of less than 80% than large nursing homes. Let small nursing homes be population 1. State the original claim in symbolic form State the null and alternative hypothesis in symbolic form Find the test statistic Find the critical value(s) State your conclusion. Reject or fail to reject the hypothesis.

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.