Consider the proportion of "successes" \( \hat{p}=\frac{27}{28} \). (a) In fraction form, what is the proportion of failures, \( (1-\hat{p}) \) ? (b) Choose the correct inequality to compare the two proportions.
Solución de inteligencia artificial de Upstudy
Responder
Solución

¡Inicia sesión para desbloquear respuestas gratis!
Una plataforma de aprendizaje en la que confían millones de estudiantes y profesores reales.

Respondido por UpStudy AI y revisado por un tutor profesional
Beyond the Answer
The proportion of failures can be calculated by subtracting the proportion of successes from 1. So, we have \( 1 - \hat{p} = 1 - \frac{27}{28} = \frac{1}{28} \). This means that the proportion of failures is \( \frac{1}{28} \). When comparing the two proportions \( \hat{p} \) and \( (1 - \hat{p}) \), we find that \( \hat{p} = \frac{27}{28} \) is greater than \( (1 - \hat{p}) = \frac{1}{28} \). Therefore, the correct inequality is \( \hat{p} > (1 - \hat{p}) \). In summary, the proportion of failures is \( \frac{1}{28} \) and \( \hat{p} > (1 - \hat{p}) \).
