Chi-Square Test for Independence
Using Chi-Square, we are looking to see if there is a significant difference between what we would expect results to be, and what the actual results were. That is, expected vs. observed. Use alpha = .05
Listed below are data from a survey conducted recently where Males and Females responded to their happiness with their supervisor (this is fictitious data).
Response |
Male |
Female |
Total |
Not at all |
23 |
25 |
48 |
Somewhat |
13 |
22 |
35 |
Very |
26 |
16 |
42 |
Total |
62 |
63 |
125 |
What is your null hypothesis?
What is your alternative hypothesis?
What is the Chi-Square value?
Is there significance evidence that a difference exists between the actual males and female responses in this sample and the expected male/female responses in the population? YES OR NO
H0: there significance no evidence that a difference exists between the actual males and female responses in this sample and the expected male/female responses in the population
H1: there significance evidence that a difference exists between the actual males and female responses in this sample and the expected male/female responses in the population
Given the los be alpha = 5%
Chi-Square Test for Independence Using Chi-Square, we are looking to see if there is a significant...
11. Effect size for the chi-square test for independence Aa Aa Which of the following statements are correct about the phi-coefficient? Check all that apply. It is determined only by the proportions in a 2 x 2 data matrix. It is the same as Cramer's V when the data are a 2 x 2 matrix. It can be used as a measure of the significance of a relationship between two dichotomous variables. * It can be used as a measure...
Effect size for the chi-square test for independence 1.Which of the following statements are correct about the phi-coefficient? Check all that apply. a.It can be used as a measure of the significance of a relationship between two dichotomous variables. b.It is the same as Cramer’s V when the data are a 2 x 2 matrix. c.It can be used as a measure of the strength of a relationship between two dichotomous variables. d.It can be used as a measure of...
You are doing a chi- square test for independence and find a significant result. What can conclude? A The null hypothesis is correct and there is no difference in the proportion of count in your single row. B . The null hypothesis is incorrect and there is probably a relationship between the two variables of interest. C.The null hypothesis is correct and there is no relationship between your two variables of interest. D.The null hypothesis is incorrect and there is...
Perform a chi-square independence test using the critical value approach, provided the conditions for using the test are met. Be sure to state the hypotheses and the significance level, to obtain the expected frequencies, to obtain the critical value, to compute the value of the test statistic, and to state your conclusion. 160 students who were majoring in either math or English were asked a test question, and the researcher recorded whether they answered the question correctly. The sample results...
The purpose of this activity is to gain experience conducting a chi-square test of independence using technology. Recall the report On the Front Line: The Work of First Responders in a Post-9/11 World. We will use data from this report to investigate the question: Are alcohol-related problems among New York firefighters associated with participation in the 9/11 rescue? Here again are our observed data: No Risk for Alcohol Problems Moderate to Severe Risk for alcohol problems Participated in 911 rescue...
this is the table given Perform a chi-square independence test using the critical value approach, provided the conditions for using the test are met. Be sure to state the hypotheses and the significance level, to obtain the expected frequencies, to obtain the critical value, to compute the value of the test statistic, and to state your conclusion. 160 students who were majoring in either math or English were asked a test question, and the researcher recorded whether they answered the...
(1 point) A chi-square independence test is to be conducted to decide whether an association exists between two variables of a populations. One variable has 6 possible values and the other variable has 8. What are the degrees of freedom for the x2-statistic? answer:
(1 point) A chi-square independence test is to be conducted to decide whether an association exists between two variables of a populations. One variable has 10 possible values and the other variable has 10. What are the degrees of freedom for the y2-statistic? answer:
-Which assumption can be violated when conducting a chi-square test of independence, yet still allow the chi-square value to be calculated? homogeneity of variances expected frequencies random samples independence of observations - If R = 3, C = 3, and alpha is set at .05, what would the critical value be for a chi-square test of independence? 12.592 9.488 7.815 16.919 -Under what condition is the interpretation of Pearson's r and Cramer's V the same? when a chi-square analysis is...
Does the data meet the conditions for the chi-square test? StatCrunch Instructions: Test of Independence Using Technology Next we will use StatCrunch to calculate the expected counts: Enter Yes and No in column var1. Enter the observed counts as they appear in the table above (not including the totals) into columns var2 and var3. Rename: var1 as "911", var2 as "No Risk" and var3 as "M to S Risk" Choose Stat -> Tables -> Contingency -> with summary Select the...