I want to test $H _ { 0 } : p = .7 \mathrm { vs. } H _ { \mathrm { a } } : p \neq .7$ using a test of hypothesis. If I concluded that $p$ is $.7$ when, in fact, the true value of $p$ is not $.7$, then I have made a________
A) Type I and Type II error
B) correct decision
C) Type II error
D) Type I error

Question

Quizplus · Accepted Answer

Concluding that $p = .7$ when the true value of $p$ is not $.7$ is a Type II error, which occurs when the null hypothesis is not rejected when it is false.

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

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