Question

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

Answer 1

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.

Explanation:

p= 24/64 = .375

π0= .50

zcalc= (0.375 - 0.50)/[(0.50)(1 - 0.50)/64]
`^{(1)/(2)}`= -2.000