Come up with a 2 x 2 contingency table for which p^1=p^2 , and for which the row and column totals are not the same. Now calculate χ2*. Are you surprised? Why or why not?
Come up with a 2 x 2 contingency table for which p^1=p^2 , and for which...
1. Use a χ2 test to
test the claim that in the given contingency table, the row
variable and the column variable are independent.
Responses to a survey question are broken down according to
employment status and the sample results are given below. At the
0.10 significance level, test the claim that response and
employment status are independent.
a. find the test statistic
2. Use a χ2 test to
test the claim that in the given contingency table, the row...
1. Use the data in the contingency table to answer the question. Columns Rows 1 2 3 Total 1 36 35 92 163 2 67 57 113 237 Total 103 92 205 400 You wish to test the null hypothesis of "independence"—that the probability that a response falls in any one row is independent of the column it falls in—and you plan to use a chi-square test. You are given that there are 2 degrees of freedom associated with the...
D.Consider the following 2 x 2 contingency table for an experiment in which you sampled the number of instances of each of two different categories from two different data sets Data set 2 Data set 1 10 15 Category 1 Category 2 25 20 Calculate the appropriate x2 test statistic to determine whether these two data sets are the same.
3. This question involves a Test of Independence for the following contingency table. Use a = 0.05. Column 1 Column 3 Column 4 Column 2 50 Row 1 Row 2 75 50 100 50 (a) (2 marks) State the appropriate hypotheses. (b) (8 marks) Create a table of Expected Frequencies. (c) (8 marks) Determine the test statistic. (d) (2 marks) Use the p-value approach. What is your conclusion?
Chapter 11, Section 11.3, Problem 021 Consider the following contingency table that is based on a sample survey. Column 1 Column 2 Column 3 Row 1 133 83 84 Row 2 90 52 | 91 | Row 3 1367996 a. Write the null and alternative hypotheses for a test of independence for this table. Ho: Rows and columns are H: Row and columns are b. Calculate the expected frequencies for all cells assuming that the null hypothesis is true. b....
1) Consider the following contingency table that records the
results obtained for four samples of fixed sizes selected from four
populations.
Sample Selected From
Population 1
Population 2
Population 3
Population 4
Row 1
34
75
102
71
Row 2
24
58
79
110
Row 3
35
47
72
10
a. calculate the expected frequencies for all
cells assuming that the null hypothesis is true.
Round your answers to three decimal places, where required.
Population 1
Population 2
Population 3...
А 10 40 B 20 30 у b The contingency table shown to the right gives a cross-classification of a random sample of values for two variables, x and y, of a population a. Find the expected frequencies. Note: You will first need to compute the row totals, column totals, and grand total. b. Determine the value of the chi-square statistic. c. Decide at the 5% significance level whether the data provide sufficient evidence to conclude that the two variables...
The partially filled out contingency table below is for a hypothesis test to see if there is evidence that M and N are not independent. Fill out the missing parts of the table. The expected values go in the parentheses and observed values go above the parentheses. Also put in the missing row totals and column totals. You should be able to complete the table using only addition and subtraction. Do not do the hypothesis test. N 28 ) (...
11. The partially filled out contingency table below is for a hypothesis test to see if there is evidence that M and N are not independent. Fill out the missing parts of the table. The expected values go in the parentheses and observed values go above the parentheses. Also put in the missing row totals and column totals. You should be able to complete the table using only addition and subtraction. Do not do the hypothesis test. N 28 )...
You intend to conduct a test of independence for a contingency table with 8 categories in the column variable and 2 categories in the row variable. You collect data from 349 subjects. What are the degrees of freedom for the ? 2 distribution for this test? d.f. =