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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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