Statistical Significant and Null Hypothesis

Case Processing Summary
  Cases
Valid Missing Total
N Percent N Percent N Percent
DOES R OWN OR RENT HOME? * RESPONDENTS SEX 1670 65.8% 868 34.2% 2538 100.0%
DOES R OWN OR RENT HOME? * RESPONDENTS SEX Crosstabulation
  RESPONDENTS SEX Total
MALE FEMALE
DOES R OWN OR RENT HOME? OWN OR IS BUYING Count 464 571 1035
% within RESPONDENTS SEX 61.9% 62.0% 62.0%
PAYS RENT Count 274 336 610
% within RESPONDENTS SEX 36.6% 36.5% 36.5%
OTHER Count 11 14 25
% within RESPONDENTS SEX 1.5% 1.5% 1.5%
Total Count 749 921 1670
% within RESPONDENTS SEX 100.0% 100.0% 100.0%
Chi-Square Tests
  Value df Asymp. Sig. (2-sided)
Pearson Chi-Square .009a 2 .996
Likelihood Ratio .009 2 .996
Linear-by-Linear Association .000 1 .999
N of Valid Cases 1670    
a. 0 cells (0.0%) have expected count less than 5. The minimum expected count is 11.21.
Symmetric Measures
  Value Approx. Sig.
Nominal by Nominal Phi .002 .996
Cramer’s V .002 .996
N of Valid Cases 1670  
  1. What is your research question? Can we determine the relationship between respondents’ sex and the question of whether respondents own or rent home?
  2. What is the null hypothesis for your question? Given all applicable data, there is no relationship between respondents’ sex and their question of whether respondents own or rent home.
  3. What research design would align with this question? My research design is a comparative design of methodology. In social sciences, this type of research design is purposed to compare correlation or relationships among variables (Cantrell, 2011).
  4. What dependent variable was used and how is it measured? My dependent variable is does respondents Own or Rent home? It is measured using descriptive statistics and selecting crosstabs, under Rows space to calculate relationship between the two variables.
  5. What independent variable is used and how is it measured? My independent variable is the respondents’ sex. It is measured using descriptive statistics while selecting crosstabs, under column space to calculate relationship between the two variables.
  6. If you found significance, what is the strength of the effect? Using the Cramer’s V correlation, we can determine the strength of the effect.  A value of 0 indicates no relationship whatsoever, and a value of 1.0 indicates high correlation or perfect relationship (Laureate Education, 2016a). Our value of 0.002 indicate an almost perfect relationship, thereby reject the null hypothesis.
  7. Explain your results for a lay audience and further explain what the answer is to your research question. Using the case processing table above, we can see a valid number of 1670 and those who either refused to answer the question or were not available were 868, with a total of 2538. The crosstabulation table tells us the number or percentages of male respondents who either own or is buying home, or pays rent and/or others. This percentages applies the same analysis with Female. For example, the percentage of male respondents who pays rent is 36.6%. The table also tells us that there is relationship between the variables due to unequal percentages between the dependent variables. To statistically test the relationship, we can review chi-square table. We can see a Pearson Chi-square of 0.009. However the p-value is given 0.996, which is above the conventional threshold of 0.05. Controlling other assumptions of the resulted data, Chi-square tells us there is no relationship between the two variables, thereby accepting the null hypothesis.

Reference

 Cantrell, M. A. (2011). Demystifying the research process: Understanding a descriptive comparative research design. Pediatric Nursing, 37(4), 188-9.

Laureate Education (Producer). (2016a). Bivariate categorical tests [Video file]. Baltimore, MD: Author.