Which of the following statements are true? A) When the alternative hypothesis is $H _ { ± } : p p _ { o }$ , the null hypothesis $H _ { o }$ Should be rejected if $\hat { p }$ Is too far to the right of $p _ { o }$ ) C) When the alternative hypothesis is $H _ { \pm} : p \neq p _ { o }$ , the null hypothesis $H _ { o }$ Should be rejected if $\hat { p }$ Is too far to either side of $p _ { o }$ ) D) All of the above statements are true E) None of the above statements are true.

Question

Which of the following statements are true?
A) When the alternative hypothesis is $H _ { ± } : p < p _ { o }$
, the null hypothesis $H _ { o }$
Should be rejected if $\hat { p }$
Is too far to the left of $p _ { o }$
)
B) When the alternative hypothesis is $H _ { ± } : p > p _ { o }$
, the null hypothesis $H _ { o }$
Should be rejected if $\hat { p }$
Is too far to the right of $p _ { o }$
)
C) When the alternative hypothesis is $H _ { \pm} : p \neq p _ { o }$
, the null hypothesis $H _ { o }$
Should be rejected if $\hat { p }$
Is too far to either side of $p _ { o }$
)
D) All of the above statements are true
E) None of the above statements are true.

Quizplus · Accepted Answer

Each statement correctly describes the conditions under which the null hypothesis should be rejected in relation to the specified alternative hypothesis. Statement A deals with a left-tailed test, B with a right-tailed test, and C with a two-tailed test, accurately reflecting the direction in which the sample proportion ($\hat { p }$) must deviate from the hypothesized proportion ($p _ { o }$) to reject the null hypothesis.

Which of the Following Statements Are True? A) When the Alternative

Which of the Following Statements Are True?
A) When the Alternative