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
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: Ha: 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:Ha: P ≠ 0.75
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