Question

According to NewScientist publication, a new thermal imaging camera that detects small temperature changes is now being used as a polygraph device. The U.S. Dept. of Defense Polygraph Institute (DDPI) claims the camera can correctly detect liars 75% of the time by monitoring the temperatures of their faces. Choose the null and alternative hypotheses for testing the claim made by DDPI.

a. Ho: µ = 0.75

Ha: µ > 0.75

b. Ho: pi = 0.75

Ha: pi > 0.75

c. Ho: pi = 0.75

Ha: pi < 0.75

d. Ho: pi = 0.75

Ha: pi ≠ 0.75

e. Ho: pi ≠ 0.75

Ha: pi = 0.75

f. Ho: p-hat = 0.75

Ha: p-hat ≠ 0.75

g. Ho: pi = 75

Ha: pi ≠ 75

Answer 1

QUESTION:

a)      The null and alternative hypothesis for this test is given as below:

Null hypothesis: H₀: The camera detects the liars correctly 0.75 of the time by monitoring the temperatures of their faces.

Alternative hypothesis: H_a: The camera does not detect the liars correctly 0.75 of the time by monitoring the temperatures of their faces.

Symbolically, the null and alternative hypothesis is given as below:

NULL HYPOTHESIS:H₀ P = 0.75

ALTERNATE HYPOTHESIS:H_a: P ≠ 0.75