Given $\mathrm { H } _ { 0 } : \mathrm { p } \geq 80 \% \text { and } \mathrm { H } _ { \mathrm { a } } : \mathrm { p }

Question

Given $\mathrm { H } _ { 0 } : \mathrm { p } \geq 80 \% \text { and } \mathrm { H } _ { \mathrm { a } } : \mathrm { p } < 80 \%$ determinedetermin whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
A)left-tailed
B)right-tailed
C)two-tailed

Quizplus · Accepted Answer

The alternative hypothesis ($H_a$) is $p < 80\%$, which suggests that the test is looking for evidence that the proportion is less than a certain value. This indicates a left-tailed test, as we are interested in the lower (left) end of the distribution.

Given H0:p≥80% and Ha:p<80%\mathrm { H } _ { 0 } : \mathrm { p } \geq 80 \% \text { and } \mathrm { H } _ { \mathrm { a } } : \mathrm { p } < 80 \%H0​:p≥80% and Ha​:p<80%

Given $\mathrm { H } _ { 0 } : \mathrm { p } \geq 80 \% \text { and } \mathrm { H } _ { \mathrm { a } } : \mathrm { p } < 80 \%$