To prepare for this Assignment, imagine that you have information about 30 other participants’ self-esteem and intelligence, but for these individuals you only have data on whether they have average or above average intelligence, and whether they have high or low self-esteem. You do not have their actual scores for each variable. The observed frequencies are reported here:
Intelligence Average Above Average Self-Esteem Low 7 8 High 5 10
To complete this Assignment, submit by Day 7 your answers to the following. Based on the scenario, use SPSS to determine if intelligence is related to self-esteem in your sample by computing the appropriate chi-square test. Save and submit both the SPSS data and output files.
- Explain what scale of measurement is used to measure intelligence in this example. How do you know?
- Explain what scale of measurement is used to measure self-esteem. How do you know?
- Before computing the chi-square, state your null and alternative hypotheses in words (not formulas).
- Based on the hypotheses you stated, explain whether you should conduct a one-way or two-way chi-square test and why.
- Identify the obtained χ2.
- Identify the degrees of freedom and explain how it is calculated.
- Identify the p value.
- Explain whether you should retain or reject the null hypothesis and why.
- Explain what you can determine about the relationship between self-esteem and intelligence, based on this set of data.
- Submit three documents for grading: your text (Word) document with your answers and explanations to the application questions, your SPSS Data file, and your SPSS Output file.