Lab- Answer the follwoing questions- part1- To create the expected matrix for a
ID: 3435064 • Letter: L
Question
Lab- Answer the follwoing questions- part1-
To create the expected matrix for a contingency table. To conduct a chi-square test for independence using p-values. Use the data provided in the table below to test (at the 10% level of significance) if a person's preference about the type of pet they own is independent of their gender. Label column C1 Male and column C2 Female. Enter the observed frequencies in the table below into the appropriate cells in Row 1 and Row 2 in Minitab. You should end up with a 2 X 2 matrix. Use the formula Expected Count = Row total X Column Total to fill in the expected matrix for the contingency table. Note. You will not need to enter these in Minitab. This step is just to practice calculating expected cell counts.Explanation / Answer
Observed Frequencies
Column variable
Row variable
Male
Female
Total
cat
21
29
50
dog
38
32
70
Total
59
61
120
Expected Frequencies
Column variable
Row variable
Male
Female
Total
cat
24.5833
25.4167
50
dog
34.4167
35.5833
70
Total
59
61
120
Chi-Square Test for Association: Worksheet rows, Worksheet columns
Rows: Worksheet rows Columns: Worksheet columns
Male Female All
1 21 29 50
24.58 25.42
2 38 32 70
34.42 35.58
All 59 61 120
Cell Contents: Count
Expected count
Pearson Chi-Square = 1.761, DF = 1, P-Value = 0.184
Likelihood Ratio Chi-Square = 1.767, DF = 1, P-Value = 0.184
Do not reject the null hypothesis
Observed Frequencies
Column variable
Row variable
Male
Female
Total
cat
21
29
50
dog
38
32
70
Total
59
61
120
Expected Frequencies
Column variable
Row variable
Male
Female
Total
cat
24.5833
25.4167
50
dog
34.4167
35.5833
70
Total
59
61
120
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