A manufacturer of fishing line claims that by using machines, rather than people, at the assembly plant that this will reduce the amount of defects in the line. Currently the defective rate is 15 per 1000 ft. Which is the correct null hypothesis?
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To determine the correct null hypothesis in this scenario, we need to understand what the manufacturer is claiming and how it relates to the current situation.
The manufacturer claims that using machines instead of people at the assembly plant will reduce the amount of defects in the fishing line. Currently, the defective rate is stated as 15 per 1000 ft.
In hypothesis testing, the null hypothesis (H0) typically represents the status quo or the absence of any effect. In this case, the null hypothesis would state that there is no difference in the defective rate between using machines and using people at the assembly plant.
Based on the manufacturer's claim, the null hypothesis can be formulated as follows:
H0: The use of machines at the assembly plant does not reduce the defective rate of the fishing line.
It is important to note that the null hypothesis is not always the claim we want to prove or the desired outcome. Instead, it represents the opposite of what is being claimed or expected.