The table for observed frequency is ,
Variable A | |||
Variable B | 1 | 2 | Total |
1 | 36 | 31 | |
2 | 35 | 51 | |
Total | N=153 |
The table for expected frequency is ,
; i=1,2 and j=1,2
Variable A | ||
Variable B | 1 | 2 |
1 | 31.0915 | 35.9085 |
2 | 39.9085 | 46.0915 |
The table for is ,
Variable A | ||
Variable B | 1 | 2 |
1 | 41.68341 | 26.76247 |
2 | 30.69522 | 56.43123 |
Therefore , the test statistic is ,
Calculate the test statistic. Chapter 12. Chi-Square Test Saved Help Save & Exit Su Check my...
CH12 Q4 Given the following contingency table, conduct a test for independence at the 1% significance level. (You may find it useful to reference the appropriate table: chi-square table or F table) Variable A Variable B 31 34 32 58 a. Choose the null and alternative hypotheses. OH: The two variables are independent.; H: The two variables are dependent. 0 0: The two variables are dependent. ; HA: The two variables are independent. b. Calculate the value of the test...
htps/ Chapter 12 Pent 16 3 Given the following contingency table, conduct a test for independence at the 10% significance level (You may f reference the appropriate table: chi-square table or F table) 10 Variable Variable B 32 39 35 51 a. Choose the null and aternative hypotheses. 8 Hs. The two variables are independent. Ha The two variables are dependent 0 H. The two variables are dependent, H. The two venables are independent. ь, с b. Ceiculate the value...
Help Save & Exit Check my A consumer advocate researches the length of life between two brands of refrigerators, Brand A and Brand B. He collects data (measured in years) on the longevity of 40 refrigerators for Brand A and repeats the sampling for Brand B. These data are measured in years. (You may find it useful to reference the appropriate table: z table or table) 10 points Brand A Brand B Brand A Brand B eBook **************** 3322282292393282939 Click...
You are conducting a test of the claim that the row variable and the column variable are dependent in the following contingency table. X Y Z A 26 26 47 B 30 26 17 Give all answers rounded to 3 places after the decimal point, if necessary. (a) Enter the expected frequencies below: X Y Z A B (b) What is the chi-square test-statistic for this data? Test Statistic: χ2=χ2= (c) What is the critical value for this test...
You are conducting a test of the claim that the row variable and the column variable are dependent in the following contingency table. х Y Z A[ 324 28 B27 21 35 Give all answers rounded to 2 places after the decimal point, if necessary. (a) Enter the expected frequencies below: х Y Z A B (b) What is the chi-square test-statistic for this data? Test Statistic: x2 (c) What is the p-value for this test of independence P-Value: =...
When we carry out a chi-square test of independence, the chi-square statistic is based on (rxc)-1 degrees of freedom, where r and c denote, respectively, the number of rows and columns in the contingency table. True or false
The following sample data reflect shipments received by a large firm from three different vendors and the quality of those shipments (You may find it useful to reference the appropriate table: chi-square table or table) Vendor DefectiveAcceptable 20 25 24 116 67 255 a. Select the competing hypotheses to determine whether quality is associated with the source of the shipments H: Quality and source of shipment (vendor) are independent; Ha: Quality and source of shipment (vendor) are dependent. Ho: Quality...
You are conducting a test of the claim that the row variable and the column variable are dependent in the following contingency table. X Y Z A 40 35 14 B 19 30 27 Give all answers rounded to 3 places after the decimal point, if necessary. (a) Enter the expected frequencies below: X Y Z A B (b) What is the chi-square test-statistic for this data? Test Statistic: χ2=χ2= (c) What is the critical value for this test...
Many parents have turned to St. John's wort, an herbal remedy, to treat their children with attention deficit hyperactivity disorder (ADHD). The Journal of the American Medical Association (June 11, 2008) published an article that explored the herb's effectiveness. Children with ADHD were randomly assigned to take either St. John's wort capsules or placebos. The contingency table below broadly reflects the results found in the study. (You may find it useful to reference the appropriate table: chi-square table or F...
You are conducting a test of the claim that the row variable and the column variable are dependent in the following contingency table. X Y Z A 41 21 19 B 39 19 13 Give all answers rounded to 3 places after the decimal point, if necessary, (a) Enter the expected frequencies below: X Y Z B (b) What is the chi-square test-statistic for this data? Test Statistic: x (c) What is the critical value for this test of independence...