Question

 

For this Discussion please complete the following:

1. Develop a Research Question: In your area of interest, think about a research question that could be answered using a hypothesis test for a mean (see Live Binder video for examples). Write down this research question and explain what your research is trying to investigate.
2. State the Hypotheses: Using your research question, create the null hypothesis that will be tested and the alternative hypothesis. Be sure to use the symbols Ho for the null hypothesis and Ha for the alternative hypothesis.
3. One-tailed or Two-tailed: Based on your research question indicate whether you would conduct a one-tailed or two-tailed test. If you would conduct a one-tailed test indicate which direction the test would be.
4. Expected Conclusion: Think of a hypothetical p-value (must be between 0 and 1) and provide your expected decision and conclusion from your test of hypothesis based on this p-value.

Answer 1

Problem statement:- We have to devise a research question and based on the research problem we have to answer the following questions.

Given:- Along with the question asked, additional information on the research question is provided. The research question decided is -"Are females with a higher education (at least a 4 year degree or higher) more or less likely to be victims of abuse than those that do not have any higher education credentials"

Solution:-

Question 1:- Develop a Research Question

The research question is provided along with the information. The research question decided is ""Are females with a higher education (at least a 4 year degree or higher) more or less likely to be victims of abuse than those that do not have any higher education credentials".

Here in this research question we are trying to investigate whether having a higher education has any relation/influence on being more or less vulnerable to abuse.

In this statistical study we compare the proportion of females with higher education who are victims of abuse with proportion of females without higher education who are victims of abuse

Question 2:- State the Hypotheses

The statistical test to be used is two-sample proportion hypothesis test

Note: Based on the research question we can formulate 3 hypothesis testing

Case 1:

Null hypothesis(H0): Proportion of females with higher education who are victim of abuse is equal to Proportion of females without higher education who are victim of abuse

Alternate Hypothesis(Ha): proportion of females with higher education who are victim of abuse is not equal to Proportion of females without higher education who are victim of abuse

Case 2:

Null hypothesis(H0): Proportion of females with higher education who are victim of abuse is lesser or equal to Proportion of females without higher education who are victim of abuse

Alternate Hypothesis(Ha): proportion of females with higher education who are victim of abuse is greater than Proportion of females without higher education who are victim of abuse

Case 3:

Null hypothesis(H0): Proportion of females with higher education who are victim of abuse is greater or equal to Proportion of females without higher education who are victim of abuse

Alternate Hypothesis(Ha): proportion of females with higher education who are victim of abuse is lesser than Proportion of females without higher education who are victim of abuse.

Question 3:- One-tailed or Two-tailed

Case 1 in previous question on hypothesis testing is a two-tailed test.

Case 2 in previous question on hypothesis testing is a one-tailed test. This is a right-tailed test.

Case 3 in previous question on hypothesis testing is a one-tailed test. This is a left-tailed test.

Question 4:- Expected Conclusion

Suppose we assume a hypothetical p-value for case-1 of hypothesis test as 0.003 and we are working with a 95% confidence then we reject our null hypothesis and conclude that proportion of females with higher education who are victim of abuse is not equal to Proportion of females without higher education who are victim of abuse.