Question

A quality control technician works in a factory that produces computer monitors. Each day, she randomly selects monitors and tests them to make sure that they do not have any dead pixels. Over the course of a month, she tested 300 monitors and found 24 monitors with dead pixels.

The technician conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of monitors with dead pixels is greater than 5%.

Which answer choice shows the correct null and alternative hypotheses for this test?
Select the correct answer below:

A. H₀ : p = 0.05: Hα : p > 0.05, which is a right-tailed test.
B. H₀ : p = 0.08: Hα : p > 0.08, which is a right-tailed test.
C. H₀ : p = 0.08: Hα: p<0.08, which is a left-tailed test.
D. H₀ : p = 0.06: Hα : p <0.05, which is a left-tailed te

Answer 1

The correct null and alternative hypotheses for this test are: H₀: p = 0.05 and Hα: p > 0.05, which is a right-tailed test.

Step-by-step explanation:

The correct null and alternative hypotheses for this test are:

H0: p = 0.05

Hα: p > 0.05

These hypothesis represent a right-tailed test.