Which of the following is an example of a two-tailed test? A) $H_{o}: \hat{p}.4, ; H_{1}: \hat{p} \ngtr .4$. B) $H_{o}: \hat{p}

Question

Which of the following is an example of a two-tailed test?
A) $H_{o}: \hat{p}>.4, ; H_{1}: \hat{p} \ngtr .4$.
B) $H_{o}: \hat{p}<.3, ; H_{1}: \hat{p} \nless .3$.
C) $H_{o}: \hat{p} \geq .5, ; H_{1}: \hat{p} \geq .5$.
D) $H_{o}: \hat{p}=10 ; H_{1}: \hat{p} \neq 10$.

Quizplus · Accepted Answer

A two-tailed test is used when the alternative hypothesis specifies that the parameter is not equal to the stated value, which is the case in option D ($H_{o}: \hat{p}=10 ; H_{1}: \hat{p} \neq 10$). This means we are interested in deviations on both sides of the hypothesized value.

Which of the Following Is an Example of a Two-Tailed Ho:p^>.4,;H1:p^≯.4H_{o}: \hat{p}>.4, ; H_{1}: \hat{p} \ngtr .4Ho​:p^​>.4,;H1​:p^​≯.4

Which of the Following Is an Example of a Two-Tailed $H_{o}: \hat{p}>.4, ; H_{1}: \hat{p} \ngtr .4$