Suppose That a Device Advertised to Increase a Car's Gas $\mathrm { H } _ { 0 }$

Multiple Choice

Suppose that a device advertised to increase a car's gas mileage really does not work. We test it on a small fleet of cars (with $\mathrm { H } _ { 0 }$ : not effective) , and our data results in a $P$ -value of $0.004$ . What probably happens as a result of our experiment?

A) We fail to reject $\mathrm { H } _ { 0 }$ , committing Type II error.
B) We correctly fail to reject $\mathrm { H } _ { 0 }$ .
C) We reject $\mathrm { H } _ { 0 }$ , making a Type I error.
D) We reject $\mathrm { H } _ { 0 }$ , making a Type II error.
E) $\mathrm { We }$ correctly reject $\mathrm { H } _ { 0 }$ .