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

Complete 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 -1.645

B -2.066

C -2.000

D-1.960

The  correct option is C

Step-by-step explanation:

From the question we are told that

   The  population mean is  

    The sample size is  

     The  number that met the standard is  

Generally the sample proportion is mathematically evaluated   as

Generally the standard error is mathematically evaluated as  

=>    

=>  

The  test statistics is evaluated as