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Statistics Module 5: Analyze Phase

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Questions and Answers

What is a common characteristic of the chi-square test?

It is used for qualitative data (correct)
It is a parametric test
It assumes normality of the data
It is used for quantitative 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 (correct)
There is a correlation between the variables
The columns and rows are dependent
The expected frequencies are equal to the observed frequencies

What is a characteristic of the chi-square distribution?

The mean is equal to the degrees of freedom (correct)
It can have negative values
The standard deviation decreases as degrees of freedom increase
The mean is equal to the standard deviation

What is an example of a qualitative variable that can be used in a chi-square test?

Gender (A) Signup and view all the answers

What is the purpose of the chi-square test?

To test the null hypothesis of independence (D) Signup and view all the answers

What happens to the chi-square curve as the degrees of freedom increase?

It spreads out more (D) Signup and view all the answers

What is the purpose of McNemar's test?

To determine whether the proportions of two variables are equal (C) Signup and view all the answers

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 (C) Signup and view all the answers

What is the first step in performing a chi-square test?

Create a table of the observed and expected frequencies (B) Signup and view all the answers

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 (C) Signup and view all the answers

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 (A) Signup and view all the answers

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 (A) Signup and view all the answers

What is the purpose of applying the Chi-square formula in this context?

To test the independence of neighbourhood of residency and professional division (C) Signup and view all the answers

What is the significance of the calculated Chi-square value being greater than the critical value?

It rejects the null hypothesis (D) Signup and view all the answers

What is the degree of freedom (DF) in this Chi-square test?

4 (D) Signup and view all the answers

What is the primary advantage of using Fisher's exact test?

It is especially suitable for small sample sizes (D) Signup and view all the answers

What is the conclusion based on the Chi-square test result?

Each person's neighbourhood of residency is not independent of their professional division (A) Signup and view all the answers

What is the critical Chi-square value in this test?

9.49 (B) Signup and view all the answers

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