For each of the following situations give the degrees of freedom and an appropriate bound on the P-value (give the exact value if you have software available) for the χ2 statistic for testing the null hypothesis of no association between the row and column variables.
(a) A 2 by 2 table with χ2 = 1.08.
df = | |
P-value = |
(b) A 4 by 4 table with χ2 = 18.83.
df = | |
P-value = |
(c) A 2 by 8 table with χ2 = 22.43.
df = | |
P-value = |
(d) A 5 by 3 table with χ2 = 12.62.
df = | |
P-value = |
a) df = (2 - 1) * (2 - 1) = 1
p-value = 0.2987
b) df = (4 - 1) * (4 - 1) = 9
p-value = 0.0267
c) df = (2 - 1) * (8 - 1) = 7
p-value = 0.0021
d) df = (5 - 1) * (3 - 1) = 8
p-value = 0.1256
For each of the following situations give the degrees of freedom and an appropriate bound on...
For each of the following situations give the degrees of freedom and an appropriate bound on the P-value (give the exact value if you have software available) for the χ2 statistic for testing the null hypothesis of no association between the row and column variables. (a) A 2 by 2 table with χ2 = 0.94. df = 1 P-value = 2 (b) A 4 by 4 table with χ2 = 17.32. df = 3 P-value = 4 (c) A 2...
For each of the following situations give the degrees of freedom and an appropriate bound on the P-value (give the exact value if you have software available) for the x2 statistic for testing the null hypothesis of no association between the row and column variables. (a) A 2 by 2 table with x2 = 1.11. df = P-value = (b) A 4 by 4 table with x2 = 17.13. df = P-value = (c) A 2 by 8 table with...
For each of the following situations, give the degrees of freedom for the group (DFG), for error (DFE), and for theotal (DFT). State the null and alternative hypotheses, Ho and H numerator and denominator degrees of freedom for the F statistic. and give the (a) A poultry farmer is interested in reducing the cholesterol level in his marketable eggs. He wants to compare two different cholesterol-lowering drugs added to the hen's standard diet as well as an all-vegetarian diet. He...
Determine (a) the chi squared χ2 test statistic, (b) the degrees of freedom, (c) the critical value using α=0.05, and (d) test the hypothesis at the α=0.05 level of significance. H0: pA = pB = pC = pD = 1/4th H1: At least one of the proportions is different from the others. (a) The test statistic is __?__ . (Type an exact answer.)
Which of the following is true of the degrees of freedom, k, if you find them by taking the smaller of n1 and n2 1 when n1 n2? O A when you use this estmate for k. youre less lkely to reject a talse nuli hypothesis OB. This method for estimating kgives a relatively high power of the test O C. This is the same statistic you'd get if you used software to calculate degrees of freedom. O D. It's...
ply Your Knowledge 20.8 Is It Significant? The one-sample t statistic for testing from a sample of n = 25 observations has the value 1.75. (a) What are the degrees of freedom for this statistic? (b) Give the two critical values from Table C that bracket t. What are the one-sided P-values for these two entries? (c) Is the value t-1.75 significant at the 10% level? Is it significant at the 5% level? Is it significant at the 1% level?...
Calculate the critical degrees of freedom and identify the critical t value for a single-sample t test in each of the following situations, using p=.05 for all scenarios. Then, state whether the null hypothesis would be accepted or rejected: 10) Two-tailed test, N = 10, t = 2.35 df= (answer) critical t = (answer) Accept or Reject Ho: (answer)
For each of the following situations, give the degrees of freedom for the group (DFG), for error (DFE), and for the total (DFT). State the null and alternative hypotheses, H0 and Ha, and give the numerator and denominator degrees of freedom for the F statistic. (a) A poultry farmer is interested in reducing the cholesterol level in his marketable eggs. He wants to compare two different cholesterol-lowering drugs added to the hen's standard diet as well as an all-vegetarian diet....
For each of the following situations, give the degrees of freedom for the group (DFG), for error (DFE), and for the total (DFT). State the null and alternative hypotheses, H0 and Ha, and give the numerator and denominator degrees of freedom for the F statistic. (a) A poultry farmer is interested in reducing the cholesterol level in his marketable eggs. He wants to compare two different cholesterol-lowering drugs added to the hen's standard diet as well as an all-vegetarian diet....
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...