Question

question 5
1 pts
in the us legal system, a defendant is presumed innocent until proven guilty. consider a null hypothesis, ( h_0 ), that the defendant is innocent, and an alternative hypothesis, ( h_a ), that the defendant is guilty. a jury has two possible decisions: convict the defendant (reject the null hypothesis) or not convict the defendant (do not reject the null hypothesis). if a jury makes a type i error, what happened?

• they did convict a guilty defendant
• they did not convict an innocent defendant
• they did not convict a guilty defendant
• they did convict an innocent defendant

question 6
1 pts
intruder detection systems are often placed inside computers which contain confidential information. consider a null hypothesis, ( h_0 ), that the user is not an intruder, and an alternative hypothesis, ( h_a ), that the user is an intruder. the detection system has two possible decisions: to freeze the screen if an intruder is present (reject the null hypothesis) or to allow access if no intruder is present (do not reject the null hypothesis). if the detection system makes a type ii error, what happened?

• access was allowed to an intruder.
• access was allowed to a non - intruder.
• the screen froze when no intruder was present.
• the screen froze when an intruder was present.

question 7
1 pts

Explanation:

Question 5

A Type I error is rejecting the null hypothesis ($H_0$) when it is actually true. Here, $H_0$ is the defendant is innocent. So a Type I error would be convicting (rejecting $H_0$) an innocent defendant (when $H_0$ is true).

A Type II error is failing to reject the null hypothesis ($H_0$) when it is false. Here, $H_0$ is the user is not an intruder (false means user is an intruder). Failing to reject $H_0$ means allowing access (not freezing the screen) when the user is an intruder (intruder is present, but access is allowed).

Answer:

D. They did convict an innocent defendant

Question 6