Answer Question 3, 4 and 5.

1-Describe a scenario where you could use the Chi-square goodness of fit test OR the Chi-square test of independence.

Scenario: Imagine you are a product researcher conducting a study to investigate consumer preferences for different types of automobiles. You randomly selected 20 people from your target population and asked them what brand of car they preferred (Honda, Toyota or other). To analyze the data, we can use the Chi-square goodness-of-fit test to determine whether the observed frequencies of car preferences match the expected frequencies. Alternatively, you could use the Chi-square test of independence to determine if there is a relationship between car preference and gender.

First, using the Chi-square goodness-of-fit test. Assuming that I expect the three types of car preferences to be equally divided, I would expect each category to have a frequency of 6.66 (20/3). Therefore, their expected frequencies are:

Honda: 6.66

Toyota: 6.66

Others: 6.66

2- Set up your test in SPSS and find out at what sample size the differences between groups become significant or at what counts per cell in the Chi-square test of independence the results become significant.