Question

A company that develops artificial intelligence designed to detect false statements has developed a program that police officers can use to determine whether a criminal suspect is lying or not. According to the company, the AI can detect false statements correctly 75% of the time. What are the null and alternative hypothesis for testing the claim that the AI detects false statements as claimed by the company? A. H0 : p = .99, H? : p ? .99 B. H0 : p = .01, H? : p ? .01 C. H0 : p = .25, H? : p ? .25 D. H0 : p = .75, H? : p ? .75

Answer 1

(Two Tailed)Null and alternative hypothesis for testing a population proportion:

Null hypothesis : Ho :p =po

Alternate hypothesis : Ha : p ? po Where po : Claimed (Hypothesied) Proportion

Claim: AI can detect false statements correctly 75% of the time

Claimed(Hypothesied) Proportion of false statements detected correctly by AI = 75/100 = 0.75

Therefore

Null hypothesis : H_o :p = .75

Alternate hypothesis : H? : p ? .75

Answer :

D. H0 : p = .75, H? : p ? .75