I want to test $H _ { 0 } : p = .7 \text { vs. } H _ { \mathrm { a } } : p \neq .7$ 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 II error
B) Type I error
C) correct decision
D) Type I and Type II error

Question

Quizplus · Accepted Answer

A Type II error occurs when the null hypothesis is not rejected when it is actually false.

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