htps/ Chapter 12 Pent 16 3 Given the following contingency table, conduct a test for independence...
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...
Calculate the test statistic. Chapter 12. Chi-Square Test Saved Help Save & Exit Su Check my w Given the following contingency table, conduct a test for Independence at the 5% significance level. (You may find It useful to reference the appropriate table: chi-square table or F table) Variable A points Variable B 36 35 31 51 eBook a. Choose the null and alternative hypotheses. Hint Ho: The two variables are independent.; HA: The two variables are dependent. O Ho: The...
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. =
Perform Chi-squared test of independence. The significance level alpha is 5%. Columns: category 1 Rows: categoty 2 Contingency table 67 26 16 128 63 46 DF= Ch-square, round to three decimal places= p-value, round to three decimal places= Conclusions: based on the results, do you think the these two variables are dependent or independent? Enter the correct answer using the following options: (type the corresponding capital letter, do not type the "dot" at the end) Not independent at 5% significance level....
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?
s 1/3] 8/3] /3] 1.5/3) 3/3] 3/3] 3/3] 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 19 28 39 B 14 43 39 3/3] Give all answers rounded to 3 places after the decimal point, if necessary, (a) Enter the expected frequencies below: X Y Z 3/3) (2.7/3) (3/3) [3/3) [3/3) [3/3] [3/3) 1.2/45 A lon (b) What is the chi-square...
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...
1. Derive the exact distribution to test the independence for the 2 x 2 contingency table Response 1 n1 n12 n1+ 2 n21 n22 n2+ +1 m+2 The hypergeometric distribution can be used to find the probability of observing a particular 2x2 table under independence . In the independent binomial model, we observe two random variables, Nu and N21 . We use the observed values n1u and n21 to compare the respective probabilities of success, π1 and π2 . The...
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....
The contingency table shows the results of a random sample of former smokers by the number of times they tried to quit smoking before they were habit-free and gender. At a = 0.10, can you conclude that the number of times they tried to quit before they were habit-free is related to gender Perform the indicated chi-square independence test by completing parts (a) through (e) below. Number of times tried to quit before habit-free Gender 2-3 4 or more 272...