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Application: Correlation Study: Intelligence and Self-Esteem

Scenario:

To prepare for this Assignment, recall that in Week 1 you imagined you were a researcher interested in determining if student intelligence is related to self-esteem. Now imagine that 10 individuals participated in your study and the raw data are given here:

Assignment:

To complete this Assignment, submit by Day 7 your answers to the following. Based on the scenario, use SPSS to determine if self-esteem is related to intelligence in your sample by computing a correlation. Save and submit both the SPSS data and output files.

· Before computing the correlation, state either a one-tailed or two-tailed, alternative hypothesis and the corresponding null hypothesis in words (not formulas).

· Based on the hypotheses you stated, explain whether you should conduct a one-tailed or two-tailed test. Provide a rationale for your choice.

· Identify what the correlation coefficient (r) is for this data set.

· State the degrees of freedom and explain how it is calculated.

· Identify the p value.

· Explain whether you should retain or reject the null hypothesis. Provide a rationale for your decision.

· Explain how you would use statistics to describe the relationship between self-esteem and intelligence. Include an explanation of both the direction and strength of the relationship.

· 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.

Part2)

Application: Chi-Square Study: Intelligence and Self-Esteem

Scenario:

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:

Assignment:

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.