Question
A quality control technician works in a factory that produces computer monitors. Each day, sherandomly selects monitors and tests them to make sure that they
A quality control technician works in a factory that produces computer monitors. Each day, sherandomly selects monitors and tests them to make sure that they do not have any dead pixels. Over the course of a month, she tested300
monitors and found27
monitors with dead pixels.
The technician conducts a one-proportionhypothesis testat the5%
significance level, to test whether the true proportionof monitors with dead pixels is greater than5%
.
(a)H
0
:p=0.05
;H
a
:p>0.05
, which is a right-tailed test.
(b)Use a TI-83, TI-83 Plus, or TI-84 calculatorto test whether the true proportion of monitors with dead pixels is greater than5%
.Identify the test statistic,z
,and p-valuefrom the calculator output, rounding to threedecimal places.
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