For Dr. Young\'s experiment, 150 seedlings survived long enough to reach an age
ID: 265772 • Letter: F
Question
For Dr. Young's experiment, 150 seedlings survived long enough to reach an age at which nodulation could occur. The table below presents her observed results.
What value would you use for v (degrees of freedom)?
v = (r-1) * (c-1) =
Fill in the blanks for expected frequencies in the table above, using the following equation. Round to two decimal places.
Expected frequency = (R * C) / N
What is the calculated chi-square value? Calculate chi-square value using the equation below. Do not use the rounded values reported in the table above. Perform all calculations before rounding; then round final answer to two decimal places.
Explanation / Answer
What value would you use for v (degrees of freedom)?
v = (r-1) * (c-1) = 4-1 * 2-1 = 3.
Expected frequency = (R * C) / N
PR
NR
BI
ML
OBS
15.00
13.00
19.00
30.00
77
EXP
13.86
12.32
17.97
32.85
OBS
12.00
11.00
16.00
34.00
73
EXP
19.89
17.68
25.78
47.14
40.86
36.32
52.97
96.85
150
Null hypothesis:
The observed values are not deviating from the expected values.
Categories
Nodulated
Non-Nodulated
Total
PR
NR
BI
ML
PR
NR
BI
ML
OBS
15
13
19
30
12
11
16
34
150
EXP
13.86
12.32
17.96667
32.85333
13.14
11.68
17.03333
31.14667
150
DEVIATION
1.14
0.68
1.033333
-2.85333
-1.14
-0.68
-1.03333
2.853333
D^2
1.2996
0.4624
1.067778
8.141511
1.2996
0.4624
1.067778
8.141511
D^2/E
0.093766
0.037532
0.059431
0.247814
0.098904
0.039589
0.062688
0.261393
0.901117
SUM
0.901117
Inference: The calculate chisquare value i.e. 0.90 is less than the table value at 0.95 and 3 DF i.e. 7.82, so the null hypothesis is accepted.
PR
NR
BI
ML
OBS
15.00
13.00
19.00
30.00
77
EXP
13.86
12.32
17.97
32.85
OBS
12.00
11.00
16.00
34.00
73
EXP
19.89
17.68
25.78
47.14
40.86
36.32
52.97
96.85
150
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