Ch 12 #1 Use the contingency table to the right to complete parts a through c be
ID: 3179061 • Letter: C
Question
Ch 12 #1
Use the contingency table to the right to complete parts a through c below
A
B
Total
1
57
13
70
2
13
17
30
Total
70
30
100
Find the expected frequency for each cell
A
B
Total
1
70
2
30
total
70
30
100
b) Compare the observed and expect frequencies for each cell
Choose the correct answer below
The totals for the observed and expected frequencies are the same.
The observed values are always greater than the expected values
The totals for the observed values are always greater than the totals for the expected values.
The expected values are always greater than the observed values.
C) compute x2stat with alpha=0.01
Make sure to explain how you found the alpha, whether on excel or through formula
D) First let 1 be the proportion of all events of interest in A, and let 2 be the proportion of all events of interest in B. Determine the hypotheses
Then calculate the x2 stat
Calculate the p value
Is the value significant at alpha 0.01?
A
B
Total
1
57
13
70
2
13
17
30
Total
70
30
100
Explanation / Answer
from above
expected frequency is given in expected table
b) The totals for the observed and expected frequencies are the same.
c)chi square stat from above =14.512
and critical value of chi stat at 1 degree of freedom =6.634
d) p vlaue for above =0.0001
as p vlaue is less then 0.01 level we reject the null hypothesis; and accept that test is significant at alpha 0.01
Observed O A B Total 1 57 13 70 2 13 17 30 Total 70 30 100 Expected E=rowtotal*column total/grand total A B Total 1 49.000 21.000 70 2 21.000 9.000 30 Total 70 30 100 chi square =(O-E)^2/E A B Total 1 1.306 3.048 4.354 2 3.048 7.111 10.159 Total 4.354 10.159 14.512Related Questions
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