Question

In: Statistics and Probability

Answer Questions 4, 5. and 6 on the basis of the research hypothesis that more males...

Answer Questions 4, 5. and 6 on the basis of the research hypothesis that more males have only beards than have only mustaches, have both mustaches and beards, or have neither mustaches nor beards.

Question 4
4. State the null hypothesis.

Question 5
5. What does failure to reject the null hypothesis indicate about the research hypothesis? Why?

Question 6
6. What does a rejected null hypothesis indicate about the research hypothesis? Why?

Solutions

Expert Solution

Question 4:

H0: Null Hypothesis: (Average number of males who have only beards is not more than Average number of males who have only mustaches, have both mustaches and beards, or have neither mustaches nor beards. )

where

= Average number of males who have only beards

= Average number of males who have only mustaches, have both mustaches and beards, or have neither mustaches nor beards

Question 5:

Failure to reject the null hypothesis indicates that the difference is not significant.

Conclusion:
The data do not support the claim that Average number of males who have only beards is more than Average number of males who have only mustaches, have both mustaches and beards, or have neither mustaches nor beards.

Question 6:

Rejection of the null hypothesis indicates that the difference is significant.

Conclusion:
The data support the claim that Average number of males who have only beards is more than Average number of males who have only mustaches, have both mustaches and beards, or have neither mustaches nor beards.


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