Question

Describe how to write the null and alternative hypotheses based on a claim. Provide at least one example to clarify your explanation.

Answer 1

Answer:-

i)

The first thing needed to know is that there are two Hypotheses called the Null Hypothesis (H0) and the Alternative Hypothesis (H1); they are mutually exclusive.

ii)

There is also a claim, which is something that can be said or inferred to the Population Proportion or the Population Mean. This claim can be that the proportion has increased, decreased, stay the same, or it has changed. According to the words used in the problem, the claim will be with the Null Hypothesis (H0) or Alternative Hypothesis (H1).

iii)

Example 1:

For a shipment of cable, suppose that the specifications call for a mean breaking strength of 2010 pounds. A sample of the breaking strength of 32 segments of cable has a mean of 1895 pounds with an associated standard deviation of 59 pounds. Using the 5% level, test the significance of the difference found. In this example, we must test the difference found. This means that the Alternative Hypothesis will have the “not equal sign.” The claim will be based on the “specifications call for a mean breaking strength of 2010”

H0: µ =2010 pounds. (This will be the claim). H1: µ ≠2010 pounds.

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