Statistics- Hypothesis Testing

Question

Given the following scenario and results, state whether the claim should be rejected or not using non-technical terms in the context of the scenario. Then describe how you used the information in the scenario to make the decision.

A report from the New England Journal of Medicine claims that women have a mean height of 160.0 cm. An independent organization was asked to test this claim using a hypothesis test at a 0.05 significance level. They found that the p-value of the test was 0.0614.

Answer 1

Step 1:

The mean height of the women is 160.0 cm.

The p -value is 0.0614.

The p -value is greater than 0.05, which indictes weak evidence against null hypothesis, hence fail to reject the null hypothesis.

Null hypothesis :

One of these statements must become the null hypothesis, and the other should be the alternate hypothesis.

The null hypothesis contains equality.

So for the above, the null hypothesis H₀ : x = 160.

Step 2:

Alternate hypothesis :

The statement that does not contain equality is the alternative hypothesis.

Hence for the above scenario, the alternate hypothesis H_a : .

Solution :

The claim should not be rejected when the null hypothesis H₀ is x = 160.

The claim should be rejected when the alternate hypothesis H_a is .