In the nation of Gondor, the EPA requires that half the new cars sold will meet a certain particulate emission standard a year later. A sample of 64 one-year-old cars revealed that only 24 met the particulate emission standard. The test statistic to see whether the proportion is below the requirement is.

a. 1.645b. 2.066c. 2.000d. 1.960

The options given in the question are incorrect , the correct options are:

a. - 1.645 b. -2.066 c. -2.000 d. -1.960

The test statistic to see whether the proportion is below the requirement is c. -2.000.

Step-by-step explanation:

p= 24/64 = .375

π0= .50

zcalc= (0.375 - 0.50)/[(0.50)(1 - 0.50)/64]= -2.000

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus