Question

Base your answers to Questions 1, 2, and 3 on the research hypothesis that no difference exists in the numbers of males with mustaches, with beards, with both mustaches and beards, and with neither mustaches nor beards.

Question 1
1. State the null hypothesis.

Question 2
2. What does failure to reject the null hypothesis indicate about the research hypothesis? Why?

Question 3
3. What does a rejected null hypothesis indicate about the research hypothesis? Why?

Answer 1

Ans.1)  

The null hypothesis is

Ho: Number of males with mustache = Number of males with beard = Number of males with both mustache and beard = Number of males with neither mustache nor beard

The research hypothesis is

Ha: At least one of the numbers differs from the other significantly.

Ans.2)

Failure to reject the null hypothesis means that the research hypothesis is rejected. It means that the number of men in the four groups do not differ significantly at the pre-fixed significance level.

Ans.3)

A rejected null hypothesis means a accepted research hypothesis. It means that the number of men in the four groups differ significantly at the pre-fixed significance level.

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