We first compute the expected frequency for each of the 4 cells
here as:
Ei = (Sum of row i)*(Sum of column i) / Grand Total
Also the chi square test statistic contribution for each cell is computed here as:
These computations are as shown:
The circular brackets here contains the expected frequencies for each cell, while the square bracket contains the chi square test statistic contribution here.
The chi square test statistic for this test is computed here as:
Degrees of freedom here is computed as:
Df = (num of column - 1)(num of rows - 1) = 1
Therefore for 0.1 level of significance, we have from chi square distribution tables here:
Therefore 2.7055 is the critical value for the test here.
As the test statistic value here is 6.5016 > 2.7055, which is the critical value, therefore the test is significant here and we can reject the null hypothesis here. Therefore we have sufficient evidence here that an association exist between response and major here.
this is the table given Perform a chi-square independence test using the critical value approach, provided...
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...
Perform a chi-square independence test using either p-value or 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. 4) The table below shows the age and favorite type of music of 668 randomly selected people. Rock Jazz Classical 15-25 50 85 73 25-35 68...
Use a χ2 test to test the claim that in the given contingency table, the row variable and the column variable are independent. 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 are given below. At the 0.10 significance level, test the claim that response and major are independent. a. test statistic b. critical value
A researcher computes a 2 x 3 chi-square test for independence. What is the critical value for this test at a.05 level of significance?
You observe 100 randomly selected college students to find out whether they arrive on time or late for their classes. The table below gives a two-way classification for these students.GenderOn TimeLateFemale359Male4313To perform a chi-square test of independence for this contingency table at the 196 significance level, what is the critical value of chisquare?7.8796.63510.5979.210
120 students who were majoring in math or english were asked a test question, and the researcher recorded wheter they answered the question correctly. the sample results are given below. at the 0.05 significance level, test the claim that response and major are independent. correct incorrect math 24 46 english 35 15 what is a. claim, b. test statistics, c. critical values d comparison between test statistics and critical value, and e. conclusion.
The Chi-Square Table (Chapter 17) The chi-square table: The degrees of freedom for a given test are listed in the column to the far left; the level of significance is listed in the top row to the right. These are the only two values you need to find the critical values for a chi-square test. Increasing k and a in the chi-square table Record the critical values for a chi-square test, given the following values for k at each level...
What is the critical value for a chi-square test with 28 degrees of freedom at the 5 percent level of significance (3 pts)? If the chi-square test statistic were 41.10, what would you conclude regarding the null hypothesis (4 pts)? What would you conclude if the chi-square value were 48.19
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...
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...