18 Questions
What is a common characteristic of the chi-square test?
It is used for qualitative data
What is assumed in the chi-square test if there is no relationship between the column and row variable?
The expected frequencies can be calculated
What is a characteristic of the chi-square distribution?
The mean is equal to the degrees of freedom
What is an example of a qualitative variable that can be used in a chi-square test?
Gender
What is the purpose of the chi-square test?
To test the null hypothesis of independence
What happens to the chi-square curve as the degrees of freedom increase?
It spreads out more
What is the purpose of McNemar's test?
To determine whether the proportions of two variables are equal
What is the null hypothesis in the ice cream flavor preference example?
The proportion of people who like chocolate is the same as the proportion of people who like vanilla
What is the first step in performing a chi-square test?
Create a table of the observed and expected frequencies
What is the decision rule for rejecting the null hypothesis in a chi-square test?
Reject the null hypothesis if the chi-square value is greater than the critical value
What is the purpose of finding the critical chi-square value in a chi-square critical value table?
To compare the chi-square value to the critical value to determine which is larger
What is the ultimate goal of hypothesis testing in the context of the ice cream flavor preference example?
To determine whether the proportion of people who like chocolate is different from the proportion of people who like vanilla
What is the purpose of applying the Chi-square formula in this context?
To test the independence of neighbourhood of residency and professional division
What is the significance of the calculated Chi-square value being greater than the critical value?
It rejects the null hypothesis
What is the degree of freedom (DF) in this Chi-square test?
4
What is the primary advantage of using Fisher's exact test?
It is especially suitable for small sample sizes
What is the conclusion based on the Chi-square test result?
Each person's neighbourhood of residency is not independent of their professional division
What is the critical Chi-square value in this test?
9.49
This quiz covers the Analyze Phase of statistics, including hypothesis testing, confidence intervals, sample size, ANOVA, Chi Square tests, and correlation and regression analysis.
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