Use the following information for questions:
A sample of n = 200 college students is asked if they believe in extraterrestrial life and 120 of these students say that they do. The data are used to test H 0 : p = 0.5 versus H a : p 0.5, where p is the population proportion of college students who say they believe in extraterrestrial life. The following Minitab output was obtained:

-Based on the decision made in question 70, what mistake could have been made?
A) Type 1.
B) Type 2.
C) Neither one; the p-value is so small that no mistake could have been made.

Question

Use the following information for questions:
 A sample of n = 200 college students is asked if they believe in extraterrestrial life and 120 of these students say that they do. The data are used to test H 0 : p = 0.5 versus H a : p > 0.5, where p is the population proportion of college students who say they believe in extraterrestrial life. The following Minitab output was obtained:

-Based on the decision made in question 70, what mistake could have been made?
A) Type 1. 
B) Type 2. 
C) Neither one; the p-value is so small that no mistake could have been made.

Quizplus · Accepted Answer

A Type 1 error occurs when a true null hypothesis is incorrectly rejected. Even with a small p-value, there is still a risk of making a Type 1 error.

Use the Following Information for Questions