Suppose that a manufacturer is testing one of its machines to make sure that the machine is producing more than 97% good parts()H₀A: pp=0.97 and H : 0.97 . The test results in a P-value of 0.102. In reality, the machine is producing 99% good Parts. What probably happens as a result of our testing? A) We correctly fail to reject $H _ { 0 }$. B) We correctly reject $H _ { 0 }$. C) We reject $H _ { 0 }$, making a Type I error. D) We fail to reject $H _ { 0 }$, making a Type I error. E) We fail to reject $\mathrm { H } _ { 0 }$, making a Type II error.

Question

Suppose that a manufacturer is testing one of its machines to make sure that the machine is producing more than 97% good parts()H₀A: pp=>0.97 and H : 0.97 . The test results in a P-value of 0.102. In reality, the machine is producing 99% good Parts. What probably happens as a result of our testing? A) We correctly fail to reject $H _ { 0 }$. B) We correctly reject $H _ { 0 }$. C) We reject $H _ { 0 }$, making a Type I error. D) We fail to reject $H _ { 0 }$, making a Type I error. E) We fail to reject $\mathrm { H } _ { 0 }$, making a Type II error.

Quizplus · Accepted Answer

Since the machine is actually producing 99% good parts, the probability of getting a sample proportion of 0.97 or less is very small (less than 0.05). Therefore, the P-value of 0.102 is not small enough to reject the null hypothesis, and we fail to reject H0, making a Type II error.

Suppose That a Manufacturer Is Testing One of Its Machines H0H _ { 0 }H0​

Suppose That a Manufacturer Is Testing One of Its Machines $H _ { 0 }$