If the null and alternative hypotheses are \( H_{0}: p=0.19 \) \( H_{1}: p \neq 0.19 \) Then the test is Oleft-tailed Otwo-tailed Oright-tailed
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In this scenario, since the alternative hypothesis \( H_{1}: p \neq 0.19 \) suggests that the parameter could be either less than or greater than 0.19, the test is two-tailed. You’re checking for any significant difference from the specified value, not just one direction! When conducting a two-tailed test, you often set it up to catch deviations in both directions—this helps to avoid missing any surprises that might change your conclusion. So, if you're testing for whether your proportion significantly differs from 0.19, get ready to explore both the highs and the lows!