Question

In each of the following situations, state whether it is a correctly stated hypothesis
testing problem and why?
1. ?0: ? = 25, ?1: ? ≠ 25
2. ?0: ? > 10, ?1: ? = 10
3. ?0: ? = 50, ?1: ? ≠ 50
4. ?0: ? = 0.1, ?1: ? = 0.5
5. ?0: ? = 30, ?1: ? > 30

Answer 1

1.

It is correct. It tells about population parameter. Null hypothesis contains equal sign. Alternate hypothesis contains not equal sign.

2.

It is wrong. It tells about population parameter but Null hypothesis does not contain equal sign rather alternate hypothesis contains equal sign.

3.

It is wrong, becuase x is not a population parameter.

4.

It is wrong because alternate hypothesis contains equal sign.

5.

It is wrong because s is not population parameter but it is samle statistic.

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