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%. (a) which answer choice shows the correct null and alternative hypotheses for this test?

Respuesta :

The answer shows the correct null and alternative hypothesis for this test is

The null hypothesis p = 0.05

The alternate hypothesis p > 0.05

Total number of monitor that she tested in one month = 300 monitors

Total number of dead pixels monitor = 24

Given that she randomly selects monitors and tests them to make sure that they do not have any dead pixels

The significance level of one proportion hypothesis = 5%

From the given data

The sample size n = 300

The significance level p = 5%

= 0.05

The value of ∝ = 0.05

Number of dead pixels = 34

The null hypothesis p = 0.05

The alternate hypothesis p > 0.05

The hypothesis test is one-tailed test

Therefore, the result is

The null hypothesis p = 0.05

The alternate hypothesis p > 0.05

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