State the null hypothesis for a chi-square test for independence.

Chi-square tests
asked 2021-02-03
State the null hypothesis for a chi-square test for independence.

Expert Answers (1)

Chi-square independence test is used to test whether there is relation between two-categorical variables or not in the study. It is a statistical method that tests whether at each level of the categorical variable the observed frequencies are similar to the expected frequencies or not.
The null hypothesis for the chi-square test for independence is that, the two categorical variables are not related or independent or the observed frequency is equal to the expected frequency for two categorical variables.
Best answer

expert advice

Have a similar question?
We can deal with it in 3 hours

Relevant Questions

asked 2021-08-13

The General Social Survey (GSS) asked a random sample of adults their opinion about whether astrology is very scientific, sort of scientific, or not at all scientific. Here is a two-way table of counts for people in the sample who had three levels of higher education:
\(\begin{array}{l|c|c|c|c} & \text { Associate's } & \text { Bachelor's } & \text { Master's } & \text { Total } \\ \hline \begin{array}{l} \text { Not al all } \\ \text { scientific } \end{array} & 169 & 256 & 114 & 539 \\ \hline \begin{array}{l} \text { Very or sort } \\ \text { of scientific } \end{array} & 65 & 65 & 18 & 148 \\ \hline \text { Total } & 234 & 321 & 132 & 687 \end{array}\)
State appropriate hypotheses for performing a chi-square test for independence in this setting.

asked 2021-03-05
For each of the following situations, state whether you’d use a chi-square goodness-of-fit test, a chi-square test of homogeneity, a chi-square test of independence, or some other statistical test:
a) Is the quality of a car affected by what day it was built? A car manufacturer examines a random sample of the warranty claims filed over the past two years to test whether defects are randomly distributed across days of the work week.
b) A medical researcher wants to know if blood cholesterol level is related to heart disease. She examines a database of 10,000 patients, testing whether the cholesterol level (in milligrams) is related to whether or not a person has heart disease.
c) A student wants to find out whether political leaning (liberal, moderate, or conservative) is related to choice of major. He surveys 500 randomly chosen students and performs a test.
asked 2021-02-12
For the following situations, identify the test you would run to analyze the data:
A marketing firm producing costumes is interested in studying consumer behavior in the context of purchase decision of costumes in a specific market. This company is a major player in the costume market that is characterized by intense competition. The company would like to know in particular whether the income level of the consumers (measured as lower, middle, upper middle, and upper class) influences their choice of costume type. They are specifically focused on four types of costumes (funny costumes, scary costumes, clever costumes, and boring costumes).
a. Chi-Square Goodness of Fit
b. Frequencies
c. Descriptive Statistics
d. Chi-Square of Independence
asked 2020-11-08
Distinguish the difference (purpose) between the two different types of chi-square
1.Chi-square test for independence (CTI)
2.Chi-square test for goodness of fit (CGF)
3.What type of variables are we using for a chi-square?