I want to test $H _ { 0 } : p = .7 \text { vs. } H _ { \mathrm { a } } : p \neq .7$ using a test of hypothesis. This test would be called a(n) ____________ test.
A) two-tailed
B) lower-tailed
C) one-tailed
D) upper-tailed

Question

I want to test $H _ { 0 } : p = .7 \text { vs. } H _ { \mathrm { a } } : p \neq .7$  using a test of hypothesis. This test would be called a(n) ____________ test.
A) two-tailed
B) lower-tailed
C) one-tailed
D) upper-tailed

Quizplus · Accepted Answer

The hypothesis test is two-tailed because the alternative hypothesis $H_a: p \neq 0.7$ indicates that we are interested in deviations from 0.7 in both directions (either greater than or less than 0.7).

I Want to Test H0:p=.7 vs. Ha:p≠.7H _ { 0 } : p = .7 \text { vs. } H _ { \mathrm { a } } : p \neq .7H0​:p=.7 vs. Ha​:p=.7

I Want to Test $H _ { 0 } : p = .7 \text { vs. } H _ { \mathrm { a } } : p \neq .7$