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Homework answers / question archive / Lab Assignment 5 The table below shows the frequencies for the favorite color of both introverts and extraverts
Lab Assignment 5
The table below shows the frequencies for the favorite color of both introverts and extraverts. Test the hypothesis that personality type is independent of color preference. Use α = .05. Be sure to state your hypotheses, find your critical value, calculate your test-statistic, and evaluate the null hypothesis. Also state a conclusion.
Blue Red Yellow
Introvert 8 3 1
Extravert 2 9 2
STEP 1: State your hypotheses.
STEP 2: Set up the criteria for making a decision
STEP 3: Summarize the data into the appropriate test-statistic.
STEP 4: Evaluate H0. (Reject or Fail to reject)
Conclusion:
Use SPSS to help you answer the questions above. Turn in both your answers to these questions as well as your SPSS output file.
Note that you must enter the raw data in order for SPSS to perform the correct computation. You cannot enter the numbers as they are printed above! Use that summary information only if you wish to check your work by hand. When using SPSS we must enter one participant’s data on each line. The data you will use with SPSS are printed below:
1 Introverted Blue
2 Introverted Blue
3 Extraverted Red
4 Extraverted Red
5 Extraverted Yellow
6 Introverted Red
7 Introverted Blue
8 Extraverted Blue
9 Extraverted Red
10 Introverted Yellow
11 Introverted Blue
12 Introverted Blue
13 Extraverted Red
14 Extraverted Red
15 Extraverted Blue
16 Introverted Red
17 Introverted Blue
18 Extraverted Red
19 Extraverted Red
20 Introverted Blue
21 Extraverted Yellow
22 Extraverted Red
23 Introverted Red
24 Introverted Blue
25 Extraverted Red
You will enter that participants personality (1=introverted, 2= extraverted) in the first column (VAR1), and you will enter that participants color preference (1=blue, 2=red, 3= yellow) in the second column (VAR2). So, you should end up with 25 lines as you go down the page, and each line will contain two numbers (VAR1 and VAR).
Once you get the data in, choose Analyze from the menu, then select Descriptive Statistics, and then Cross-tabs. At this point hit the Statistics button on the dialog box. Be sure to check the box next to Chi-Square and hit Continue. Use the arrow buttons in the middle to move your variables over to be tested. VAR1 is your row, and VAR2 is your column. Then hit okay. You can compute the chi-square by hand to check your work.
